A bag contains 10 balls of different colors: 1 of color blue, 4 of color red, and 5 of color orange. a Suppose a single ball is drawn from the bag at random. What is the probability (as a decimal) that the ball is blue? 10 Answers (Enter your probability with at least 4 decimal places of accuracy.) 1 o b. Next suppose you draw a single ball from the bag with replacement 70 times. i. What is the expected (mean) number of times the ball will be blue? (Keep at least 5 decimal places of accuracy.) ii. What is the standard deviation for the number of times the ball will be blue? (Keep at least 5 decimal places of accuracy.) iii. Find the probability that the number of times the ball is blue is more than 1 times. P(Z > 1) = P(z> )= Use the normal approximation to the binomial to solve this last question. Remember to include a continuity correction Place the z-score in the first blank and the final answer for the probability in the second blank. (Include four decimal places for your 2-score and your final probability in this answer.) Note: You can earn partial credit on this problem.

Assuming the first ball was red, then the probability of picking a second red ball is now 9/14. (You don’t need to worry about whether the first ball was blue, because if it was, both balls cannot be red, so picking a red ball first is the only probability you need to consider)

Multiply the two probabilities together and you have the combined probability of both balls being red.

10/15 * 9/14 = 90/ 210 = 3/7

Step-by-step explanation: