Problem #5: An assembly consists of two independent mechanical components. Suppose that the probabilities that the first and second components meet specifications are 0.94 and 0.82, respectively. Let X be the number of components in the assembly that meet specifications. (a) Find the mean of X. (b) Find the variance of X. Problem #5(a): Round your answer to 4 decimals. Problem #5(b): Round your answer to 4 decimals. Just Save Submit Problem #5 for Grading Problem #5 Attempt #1 Attempt #2 Attempt #3 Attempt #4 Attempt #5 Attempt #6 Atter Your Answer: 5(a) 5(a) 5(a) 5(a) 5(a) 5(a) 5(a) 5 (b) 5 ( b ) 5 ( b ) 5 (b) 5 ( b ) 5 ( b ) 5 ( b ) Your Mark: 5(a) 5(a) 5(a) 5(a ) 5 (a) 5(a) 5(a ) 5 (b ) 5 ( b ) 5 (b ) 5 ( b ) 5 ( b ) 5 (b ) 5 (b) Problem #6: When coin 1 is flipped, it lands on heads with probability =; when coin 2 is flipped it lands on heads with probability 10. (a) If coin 1 is flipped 10 times, find the probability that it lands on heads at least 8 times. (b) If one of the coins is randomly selected and flipped 12 times, what is the probability that it lands on heads exactly 9 times? (c) In part (b), given that the first of these 12 flips lands on heads, find the conditional probability that exactly 9 of the 12 flips land on heads. Problem #6(a): Round your answer to 4 decimals.Problem #7: The probability that a randomly selected box of a certain type of cereal has a particular prize is 0.14. Suppose that you purchase box after box until you have obtained 3 of these prizes. (a) What is the probability that you purchase exactly 5 boxes? (b) What is the probability that you purchase at least 10 boxes? Problem #7(a): Round your answer to 4 decimals. Problem #7(b): Round your answer to 4 decimals