Probability Questions & Answers

Probability Questions & Answers 90% of Dr.William's patients end up with20-30 vision or better. Find the probability that exactly 5 of her next 8 patients end up with20-30 vision or better. - ANSWER: The probability is 0.0331 this how to do it A 48-year-old man puts $3000 in a retirement account at the end of each quarter until he reaches the age of 68, then makes no further deposits. If the account pays 4% interest compounded quarterly, how much will be in the account when the man retires at age 73? - ANSWER: n = 80 S = 3000 [ (1+0.01)^80 -1/0.01 ] S= 365014. A = 365014.57(1 + 0.01) ^ 20 A= 445387. A 43-year-old man puts $1500 in a retirement account at the end of each quarter until he reaches the age of 64, then makes no further deposits. If the account pays 4% interest compounded quarterly, how much will be in the account when the man retires at age 69? - ANSWER: S = R [ (1+i)^n - 1 / i ] n = 64 - 43 = 21 21 * 4 = 84 S = 1500 [ (1+0.01)^84 -1/0.01 ] S = 196008. A = P(1+i)^n 20 = (69-64)*4 A = 196008.41( 1 + 0.01)^20 A = 239167.51 A bag contains 3 red apples and 4 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples. - ANSWER: C(3,2) * C(4,1) + C(3,3) * C(4,0) 3 4 1 1 C(7,3) = 35 3*4+1*1/35 = 13/35 A bag contains 6 red balls and 4 blue balls. If 5 balls are selected at random, find the probability of selecting 5 red balls. - ANSWER: The probability is 1/42. A bag contains 7 red apples and 4 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples. - ANSWER: The probability is 119/165 This is how to do it CHEGG: yellow-apples-sample-3-apples-drawn-find-probability-red-ye-q1059493 A bag contains 5 red apples and 6 yellow apples. A sample of 3 apples is drawn. Find the probability that the sample contains more red than yellow apples. - ANSWER: The probability is 14/33 A bicycle factory runs two assembly lines, A and B. 92% of line A's products pass inspection and 88% of line B's products pass inspection. 60% of the factory's bikes come off assembly line B and the rest come off line A. Find the probability that one of the factory's bikes passed inspection and came off assembly line A............................