Let A, B, and Cez. 1. Prove that if A CB then P[AUB]=P[B].
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- 1 point Two dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? O 5/16 O 1/2 3/8 O 3/4 1 point pe here to searchDiscuss the properties of discrete and continuous probability distributions and give examples of eachState either the law of large numbers, the central limit theorem, or the law of rare events.
- Prove the property of probabilityprobability that exactly 4 out of 1a patients have a private roomProbability scientist Atli decides to play in a lottery where there are many prizes on offer. The odds of winning each ticket in the lottery are 1/100 or 0.01. Atli decides to try his luck and buys 10 tickets.a) What is the probability that Atli will win exactly one of the tickets?b) What is the probability that Atli will win at least one of the tickets?
- f a coin has a probability of 0.05 that it will come up "Heads" on a single flip, What is the probability of:The coin coming up heads exactly 7 times after 8 flips?Topic Hypergeometric Probability Distribution Show development for the solution A store has 20 computers, of which 5 are of the PC type. If 10 PCs are randomly drawn without replacement, what is the probability that 2 of them are PCs?Assume that when human resource managers are randomly selected, 56% say job applicants should follow up within two weeks. If 5 human resource managers are randomly selected, find the probability that at least 3 of them say job applicants should follow up within two weeks. The probability is ☐ (Round to four decimal places as needed.)
- Please no written by handTrue or FalseWOTE I rgh A box containing 5 red balls, 4 white balls and 3blue balls, of fW are ex limiti that a ball is selected randomly, its Color is observed and then retirned to the box. If (6) balls are selected in Calc this way, what is the probability of getting (3) red balls, (2)white and one blue ball?