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An urn contains 8 red balls. 3 yellow, 9 white, 6 balls

are randomly selected with replacement

What is the probability 2 are red l is yellow, and 3 are

white?
A sports marketer randomly selects persons on the street until he encounters someone who attended a game last season. What is the probability the market encounters x = 3 people who did not attend a game before the first success when p = 0.20 of the = population attended a game?

X- Geometric(3,0.20)
When looking for a job, a person sends her application to 25 companies.

The probability that a company will answer is 0.2 and it is assumed that these answers are independent. 1) What is the probability, rounded to the nearest hundredth, that the person will receive at least one answer?

A super, market has been selling discounted apples in bundles of five at their counters. A random sample of 49 bundles weighs 980 grams on average, with a standard deviation of 65 grams. Test the hypothesis that . = 1000 grams against the alternative hypothesis of > 1000 at 0.07 level of significance


According to a recent survey, the salaries of assistive professors have a mean of $41,750 and a standard deviation of $7500. Assuming that the salaries of assistive assessors follow a normal distribution, find the proportion of assistance professors who are at most $48,000. Where are you answer to at least four decimal places.
A plane can accommodate 20 people; statistics show that 25% of customers who have booked do not come. Let X be the random variable: "number of customers who come after reservation".

1. What is the distribution of X? 2. What is the probability so that X is equal to 15?

In case of headache, 3 patients out of 5 take Panadol while 2 out 5 take another medication M. 75% of patients feel better knowing that they took Panadol. 90% feel better given they took the other medication


1. What is the probability of having no longer a headache? 2. What is the probability that a patient feels better given he took Panadol?


(a) If P(A) = 0.48, what is the value of P(not A)?

(b) If P(not A) = 0.75, what is the value of P(not A)?

(c) Is it possible that P(A) = 17/3?

(d) Is it possible that P(A) = 3/17?

(e) Does P(A) + P(not A) always equal 1?



There are 6 boys and 10 girls in a group. Find the number of ways a committee of 7 that can be formed where the president must be a boy and the vice-
president must be a girl.
The marks of students in a mathematical contest is taken to follow N( 60,100 ). A team has 3 students. Students are rewarded if their measure for the team is 75 and above. Find the probability that a team is rewarded
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