Exam 5: Discrete Probability Distributions

Find the indicated probability. -In a survey of 300 college graduates, 56% reported that they entered a profession closely related to their college major. If 8 of those survey subjects are randomly selected without replacement for a follow-up survey, what is The probability that 3 of them entered a profession closely related to their college major?

The height of a randomly selected student

Use the Poisson model to approximate the probability. Round your answer to four decimal places. -The rate of defects among CD players of a certain brand is 1.4%. Use the Poisson approximation to the binomial distribution to find the probability that among 160 such CD players received by a store, there is at most one Defective CD player.

Determine whether the following is a probability distribution. If not, identify the requirement that is not satisfied. x P(x) 0 0.109 1 0.208 2 0.246 3 0.159 4 0.096 5 0.228

Find the indicated mean. -A certain rare form of cancer occurs in 37 children in a million, so its probability is 0.000037. In the city of Normalville there are 74,090,000 children. A Poisson distribution will be used to approximate the probability That the number of cases of the disease in Normalville children is more than 2. Find the mean of the appropriate Poisson distribution (the mean number of cases in groups of 74,090,000 children).

Use the Poisson Distribution to find the indicated probability. -On one tropical island, hurricanes occur with a mean of 2.74 per year. Assuming that the number of hurricanes can be modeled by a Poisson distribution, find the probability that during the next 3 years the number of Hurricanes will be 2.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. -Choosing 5 people (without replacement) from a group of 40 people, of which 15 are women, keeping track of the number of men chosen.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. -n = 64, x = 3, p = 0.04

Find the indicated probability. -A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer Exactly 3 questions correctly?

Find the standard deviation, $\sigma$ , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. - $\mathrm { n } = 2219 ; \mathrm { p } = 0.63$

The probabilities that a batch of 4 computers will contain 0, 1, 2, 3, and 4 defective computers are 0.4096, 0.4096, 0.1536, 0.0256, and 0.0016, respectively. Round answer to the nearest hundredth.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. - $\mathrm { n } = 30 , \mathrm { x } = 5 , \mathrm { p } = \frac { 1 } { 5 }$

Solve the problem. -The probability is 0.7 that a person shopping at a certain store will spend less than $20. For groups of size 24, find the mean number who spend less than $20.

Find the mean, $\mu$ , for the binomial distribution which has the stated values of $n$ and $p$ . Round answer to the nearest tenth. $n = 676 ; p = 0.7$

Find the mean, µ, for the binomial distribution which has the stated values of n and p. Round answer to the nearest tenth. - $\mathrm { n } = 2571 ; \mathrm { p } = 0.63$

Solve the problem. -On a multiple choice test with 17 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the mean for the number of correct answers.

Answer the question. -Suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are Computer literate. Is it unusual to find four computer literates among four randomly selected people? () 0 0.16 1 0.25 2 0.36 3 0.15 4 0.08

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. Rolling a single die 26 times, keeping track of the numbers that are rolled.

Determine whether the given procedure results in a binomial distribution. If not, state the reason why. -Rolling a single "loaded" die 11 times, keeping track of the "fives" rolled.

Find the standard deviation, $\sigma$ , for the binomial distribution which has the stated values of n and p. Round your answer to the nearest hundredth. - $\mathrm { n } = 503 ; \mathrm { p } = 0.7$