QUESTION 1 if a gambler places a bet on the number 7 in roul

QUESTION 1

if a gambler places a bet on the number 7 in roulette, he or she has 1/38 probability of winning.

a. find the mean and standard deviation for the number of wins of gamblers who bet on the number 7 one hundred and seventy times

b. would 0 wins in one hundred and seventy bets be an unusually low number of wins?

QUESTION 2.

A pharmaceutical company recieves large shipments of aspirin tablets. the acceptance sampling plan is to randomly select and test 28 tablets, then accept the whole batch if there is only one or none that doesnt meet the required specifications. if a particular shipment of thousands of aspirin tablets actually has 3%rate of defects, what is the probability that this wholeshipment will be accepted?

QUESTION 3.

Assume that the pisson distribution applies and that the mean number of aircraft accidentsis 4 per month. Find P(0), The probability that in a month, there will be no aircraft accidents. is it unlikely to have a month with no aircraft accidents? P(0) =

QUESTION 4.

Last year, a person wrote 138 checks. let the random variable x represent the number of checks he wrote in one day, and assume that it has a poisson distribution. what is the mean number of checks written per day? what is the standard deviation? what is the variance? the mean number of checks written per day is?

QUESTION 5

A government agency has specialist who analyze the frecuencies of letters of the alphabet in an attempt to decipher intercepted messages. in standard english text, a particular letter is used at a rate of 5.8%. find the mean and standard deviation for the number of times this letter will be found on a typical page of 3400 characters.

QUESTION 6

A TV show, lindsay and tobias, recently had a share of 35, meaning that among the TV sets in use, 35% were turned to that show. assume that an advertiser wants to verify that 35%share value by conducting its own survey, and pilot survey begins with 17households having TV sets in use at the same time of a lindsay and tobias broadcast. find the probability that none of the households are turned to Lindsay and tobias.

Solution