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Hour, find the probability that the company will receive 1. At least 8 calls 2.

ID: 3230018 • Letter: H

Question

Hour, find the probability that the company will receive 1. At least 8 calls 2. 3 or more calls 3 At most 7 calls VI. If 80% of the applicants are able to pass a driver's proficiency road test, find the mean, variance, and standard deviation of people who pass the test in a sample of 300-applicants. VII. Two bowls contain 5 black and 5 white balls. A ball is chosen at random from bowl 1 and put into bowl 2. A ball is then chosen at random from bowl 2 and put into bowl 1. Find the probability that bowl 1 still has 5 black and 5 white balls.

Explanation / Answer

Q6) p = 0.80

q = 1-p=0.20

n=300

Mean =np=300*0.8=240

Variance=npq =300*0.8*0.2 = 48

standard deviation = sqrt(variance) = sqrt(48) =6.928

Q7) Let P(WW) be the event that a ball of white color is picked up from bowl 1 and white from bowl 2. Define other cases appropriately.

Required probability = P(WW)+P(BB) = 5/10*6/11 + 5/10*6/11 = 60/110=6/11=0.545

Explanation- If a white bowl is taken from bowl 1, then bowl 2 has 6 white and 5 black balls