A number p is fewer than 15 and at least

    • [PDF File]TRANSLATING KEY WORDS AND PHRASES INTO ALGEBRAIC EXPRESSIONS

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      imply at least two parts – use parentheses when a sum or difference ... the ratio of The ratio of a number to fifteen x 15 Powers ( xn) the ... Equals ( = ) equals Seven less than a number equals ten. x − 7 = 10 is Three times a number is negative six. 3x = −6 is the same as Eight is the same as twice a number. 8 = 2x yields Twelve added ...


    • [PDF File]Math 431 An Introduction to Probability Final Exam | Solutions

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      2. Suppose the number of children born in Ruritania each day is a binomial random variable with mean 1000 and variance 100. Assume that the number of children born on any particular day is independent of the numbers of children born on all other days. What is the probability that on at least one day this year, fewer than 975 children will be born


    • [PDF File]Section N Binomial Probability Distribution

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      P(4) = 0.225 b) Find P(More than 4) = P(5) + P(6) + P(7) + …+P(15) = 0.165 + 0.092 + 0.039 + 0.013 + 0.003 + 0.001 + 0 + …+ 0 = 0.313 3) A bent coin has a probability of landing on heads equal to 0.40. This coin is tossed 5 times. a) What is the probability of getting at least 3 heads? P(X ≥ 3) = P(3) + P(4) + P(5) = 0.230 + 0.077 + 0.010 ...


    • [PDF File]S2 Discrete distributions - Poisson - PMT

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      During the winter the mean number of yachts hired per week is 5. (c) Calculate the probability that fewer than 3 yachts are hired on a particular Saturday in winter. (2) During the summer the mean number of yachts hired per week increases to 25. The company has only 30 yachts for hire.


    • [PDF File]Section N Binomial Probability Distribution

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      60 Examples: 1) Determine the indicated probability for a binomial experiment with the given number of trials n and the given probability of success, p.Round answers to four decimal places.


    • [PDF File]YEAR 12 INDUCTION: PROBABILITY DISTRIBUTIONS IB Higher ...

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      (iii) fewer than three correct answers (iv) at least two correct answers. 2. In an experiment, a biased coin is thrown ten times. If the probability of obtaining a head on any throw is 0.4, find the probability of obtaining (i) fewer than five heads (ii) exactly five heads (iii) more than three heads.


    • [PDF File]Writing and Graphing Inequalities

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      A number b is fewer than 30.4. 2. − — 7 10 is at least twice a number k minus 4. READING The inequality 3 < n + 5 is the same as n + 5 > 3. Inequality Symbols Symbol < > ≤ ≥ Key Phrases is less than is fewer than is greater than is more than is less than or equal to is at most is no more than is greater than or equal to is at least



    • [PDF File]Discrete Uniform Distribution: 5

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      1. X is the number of telephone calls per hour received by an o ce. 2. The number of particles emitted by a radioactive mass during a xed time period. Poisson Distribution: The probability distribution of the Poisson random variable X, representing the number of outcomes occurring in a given time interval or speci ed region denoted by t, is p(x ...


    • [PDF File]www.XtremePapers.com Cambridge International Examinations ...

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      Take fewer than 100 photos Take at least 100 photos 0.76 0.90 View fewer than 3 times View at least 3 times View fewer than 3 times View at least 3 times A survey is undertaken to investigate how many photos people take on a one-week holiday and also how many times they view past photos. For a randomly chosen person, the probability of taking


    • [PDF File]Paper Reference(s) 6684/01 Edexcel GCE - PMT

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      (a) State a distribution that is suitable to model the number of hits obtained during a 1 minute interval. (1) (b) State two reasons for your answer to part (a). (2) Find the probability of (c) 10 hits in a given minute, (3) (d) at least 15 hits in 2 minutes. (3) The website will go down if there are more than 70 hits in 10 minutes.


    • [PDF File]AP STATISTICS 2010 SCORING GUIDELINES

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      For the reason given in part (a), the binomial distribution with n = 2,000 and p ≈ 0.0078 can be used here. The probability that the sample would contain fewer than 12 owners of model E is calculated from the binomial distribution to be ()( ) 11 2,000 0 2,000 0.0078 0.9922 0.147− = ⎛⎞ ⎜⎟ ≈ ⎝⎠ ∑ xx x x. This probability is ...


    • [PDF File]How to calculate Binomial Probabilities Using StatCrunch.

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      Suppose the number of TV's in a household has a binomial distribution with parameters n = 23, and p = 40 %. Find the probability of a household having (Keep at least 5 digits) (a) 11 or 15 TV's (b) 13 or fewer TV's (c) 11 or more TV's (d) fewer than 15 TV's (e) more than 13 TV's Here are the steps to answer part (b).



    • [PDF File]P(at least 3 successes) P(no more than 3 successes)

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      np 100, 0.01, P(no more than 3 successes) 0.982 B) I f only 40% of university students graduate in 4 years, and we know 6 of friends who are going to university, then complete a probability distribution table based on RV=X= number of our friends who will graduate in 4 years from


    • [PDF File]CHAPTER 3: Random Variables and Probability Distributions

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      Ex. 9 on p. 73: The proportion of people who respond to a certain mail-order solicitation is a continuous random variable X that has density function f(x) = ˆ 2(x+2) 5 if 0 < x < 1 0 otherwise; (a)Show that P(0 < X < 1) = 1 (b) Find the probability that more than 1=4 but fewer than 1=2 of the people contacted will respond to this type of ...


    • [PDF File]The Poisson distribution Chapter 1

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      fewer than 2 demands in 15 minutes. a Let X be the random variable the number of demands in a 30-minute interval . Then X Po(4). Using the Poisson formula with = 4, P e 4 ()!. =) = 4 0 0 0183 0, correct to 3 signi cant gures. b Let Y be the random variable the number of demands in a one-hour interval . As the time interval being considered has ...


    • [PDF File]8.1 Writing and Graphing Inequalities

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      A number n is greater than 1. 2. Twice a number p is fewer than 7. 3. A number w minus 3 is less than or equal to 10. 4. A number z divided by 2 is at least 6. Exercises 5–10 Lesson Tutorials Inequality Symbols Symbol ≤ ≥ Key Phrases is less than is fewer than is greater than is more than is less than or equal to is at most


    • [PDF File]jumps between the ‘steps’ of the cdf. For example, the ...

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      Joel Anderson ST 371-002 Lecture Summary for 2/15/2011 Homework 0 First, the definition of a probability mass function p(x) and a cumulative distribution function F(x) is reviewed: Graphically, the drawings of a pmf and a cdf (regarding discrete random variables) are similar to histograms and step functions.


    • [PDF File]Solving Compound Inequalities

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      A number p is less than 6 and greater than 2. 8. A number n is less than or equal to −7 or greater than 12. 9. A number m is more than −7 2— 3 or at most −10. 10. A number r is no less than −1.5 and fewer than 9.5. 11. MODELING WITH MATHEMATICS Slitsnails are large mollusks that live in deep waters. They have been found in the range of


    • [PDF File]Calculating Binomial Probability notes

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      Probability of success: p = Number of successes: x = * Is it OK ... What is the probability that you count more than 15 in poverty? 7. A game is played with a spinner on a circle, like the minute hand on a clock. ... At least two experience side effects. c. Fewer than three experience side effects. d. What is the average number of patients that ...


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