number 7

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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number 7
13. Knowina that
6. Roll a fair &8-sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by
10
dmun si n
(a)
3
bns blods
(b)
8
P(X=3)
and t
8.
(d)
(e)
3
8.
8
LE00 20.011.0 020 CE.0 AC0 (1
7. Let the random variable X represent the profit made on a randomly selected day by a certain store. Assume
that X is approximately Normal with mean $360 and standard deviation $50. The most profitable 10% of days
have a profit of at least how many dollars?
(a) $244
(b) $296
(c) $370
(d) $424
(e) $476
8. Which of the following is a true statement?
(a) The binomial setting requires that there are only two possible outcomes for each trial, while the
geometric setting permits more than two outcomes.
(b) A geometric random variable takes on integer values from 0 to n.
(c) If X is a geometric random variable and the probability of success is 0.85, then the probability
distribution of X will be skewed left, since 0.85 is closer to 1 than to 0.
(d) An important difference between binomial and geometric random variables is that there is a fixed
number of trials in a binomial setting, and the number of trials varies in a geometric setting.
(e) The distribution of every binomial random variable is skewed right.
Use the following for problems 9 and 10. The number of DVDS rented daily at DVD rental machine has a mean
of 134 with a standard deviation of 42.
What a
Transcribed Image Text:13. Knowina that 6. Roll a fair &8-sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by 10 dmun si n (a) 3 bns blods (b) 8 P(X=3) and t 8. (d) (e) 3 8. 8 LE00 20.011.0 020 CE.0 AC0 (1 7. Let the random variable X represent the profit made on a randomly selected day by a certain store. Assume that X is approximately Normal with mean $360 and standard deviation $50. The most profitable 10% of days have a profit of at least how many dollars? (a) $244 (b) $296 (c) $370 (d) $424 (e) $476 8. Which of the following is a true statement? (a) The binomial setting requires that there are only two possible outcomes for each trial, while the geometric setting permits more than two outcomes. (b) A geometric random variable takes on integer values from 0 to n. (c) If X is a geometric random variable and the probability of success is 0.85, then the probability distribution of X will be skewed left, since 0.85 is closer to 1 than to 0. (d) An important difference between binomial and geometric random variables is that there is a fixed number of trials in a binomial setting, and the number of trials varies in a geometric setting. (e) The distribution of every binomial random variable is skewed right. Use the following for problems 9 and 10. The number of DVDS rented daily at DVD rental machine has a mean of 134 with a standard deviation of 42. What a
Expert Solution
Step 1

The z score can be calculated as:

z=x-μσ

The required z score that is associated with the top 10% can be obtained by using the standard normal table. The value of z at p = 0.10 is 1.28.

 

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