(a) The probability that two randomly selected 1-year-old male salamanders will live to be 2 years old is (Round to five decimal places as needed.) (b) The probability that six randomly selected 1-year-old male salamanders will live to be 2 years old is (Round to five decimal places as needed.) (c) The probability that at least one of six randomly selected 1-year-old male salamanders will not live to be 2 years old is (Round to five decimal places as needed.) Would it be unusual if at least one of six randomly selected 1-year-old male salamanders did not live to be 2 years old? because the probability of this happening is 0.05.

Suppose 50% of the registered voters in a country are Republican if a sample of 598 voters is selected what is the probability that the simple proportion of republicans will be greater than 47% round your answer to 4 decimal places

The time between busses on Stevens Creek Blvd is 12 minutes. Therefore the wait  time of a passenger who arrives randomly at a bus stop is uniformly distributed between 0  and 12 minutes.  Find the probability that a person randomly arriving at the bus stop to wait for the bus  has a wait time of at most 5 minutes.

2) A data packet consists of 10,000 bits, where each bit is a 0 or a 1 with equal probability. Estimate the probability of having at least 5200 ones in terms of the Q-function. Show your work.

A survey showed that 79​% of adults need correction​ (eyeglasses, contacts,​ surgery, etc.) for their eyesight. If 15 adults are randomly​ selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight​ correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. ​(Round to three decimal places as​ needed.)

Cal Poly Pomona found that 15% of its students withdraw without completing Calculus I course. Assume that 30 students registered for the course. Compute the probability that exactly 6 students will withdraw. Leave your answer in four decimal places.