Probability
Not what you're looking for?
Find the probability and expected value.
Purchase this Solution
Solution Summary
6) In a marketing study, 20 children were to be selected to try a new cran-raspberry flavored chewing gum. If the probability is 0.6 that a randomly selected child will like the gum, what is the probability that
a) exactly 10 will like the gum?
b) at least 14 will like the gum?
7) In a survey of buyer intentions, consumers may be asked to indicate their intentions of purchasing a particular durable good (say, an automobile) within some time period (say, the next six months) by choosing a value on a purchase probability scale. Assuming that ten consumers are interviewed independently, if four give probabilities of 0.2, four of 0.5, and two of 0.6 to the question about the purchase of the automobile in the next six months, find the expected value and the variance of the total number of automobiles that may be sold to such a group? (Hint: Write the total number sold T as the sum of independent binomial or Bernoulli random variables.)
8) A population consisting of 30 items contains 20 items if type A and 10 of type B. If X represents the number of items of type A in a sample of 5 items taken without replacement, find the following:
a) P(X = 3) ,
b) P(X 2) ,
c) E(X) ,
9) Valerie is an auditor who is going to study the checking accounts in a small bank. The bank has 500 accounts, and Valerie plans to sample 5 of these accounts in the first stage of her audit. If one or more of these 5 is found to be in error, she will taken a second (larger) sample. Find the probability she will need to take a second sample if, in fact,
a) 25 of the accounts are actually in error.
b) 50 of the accounts are actually in error.
c) 100 of the accounts are actually in error.
10) If Y is a Poisson random variable with = 3, find
a) P(Y 4) ,
b) P(Y = 2) ,
c) E(Y) ,
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.