Question

(a)In testing a certain kind of truck tire over rugged terrain, it is found that 25% of the trucks fail to complete the test run without a blowout. Of the next 15 trucks tested, find the probability that(a) From 3 to 6 have blowouts;(b) Fewer than 4 have blowouts;(c) More than 5 have blowouts.

(b)A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in Parade. If 12 seniors are selected at random and asked their opinion, find the probability that the number who disapprove of smoking pot daily is

(a) Any where from 7 to 9;(b) At most 5;(c) Not less than 8.

(c)According to a study published by a group of University of Massachusetts sociologists, approximately 60% of the Valium users in the state of Massachusetts first took Valium for psychological problems. Find the probability that among the next 8 users from this state who are interviewed,

(a) Exactly 3 began taking Valium for psychological problems;

(b) Atleast 5 began taking Valium for problems that were not psychological.

Answer 1

Question A:

Part A

iven that 25% of the truck neglect to finish the trial without a victory

Let X mean the arbitrary factors speaking to the no. of trucks having victories during the runout of next 15 trucks tried.

Let us consider a truck having victory during the trial as a triumph

Probability in every preliminary p = 0.25

Here n = 15,

since the trails are inpendent so ,

Probability for next 15 trucks tested from 3 to 6 have blowouts

Part B)

Part C)

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