Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

de, 13 red, 7 yellow, and 8 green marbles. A marble is selected at random, its e

ID: 3046181 • Letter: D

Question

de, 13 red, 7 yellow, and 8 green marbles. A marble is selected at random, its e is replaced. What is the probability of selecting two white marbles ina 7. A bag contains 10 white, 12 blue, color recorded, and then the marble row? (4 Points) yellow, and 8. Let X number of prior convictions for prisoners at a state prison at whic Number of Prior Convictions 0 Probability 4 0.01 0.45 0.260.17 0.11 (a) Find the expected number of prior convictions. (4 Points) tb) Find the probability that a prisoner has 1 or more prior convictions (4 Ppoints) A pregnancy test claims it is 99% effective. Suppose you get 6 pregnant women to take the test. (a) What is the probability that all 6 tests come back positive? (4 Points) 9,

Explanation / Answer

7. Total number of marbles = 50

Number of white marbles = 10

P(white) = 10/50 = 0.2

P(2 white marbles in a row) = 0.2x0.2

= 0.04

8. (a) Expected number of convictions = 0x0.01 + 1x0.45 + 2x0.26 + 3x0.17 + 4x0.11

= 1.92

(b) P(1 or more prior convictions) = 1 - P(0 prior convictions)

= 1 - 0.01

= 0.99

P.S: Please post different questions separately