Alex works as a health insurance agent for Medical Benefits Fund. The probability that he succeeds in selling an insurance policy to a given customer aged 25 or older is 0.45. On a given day, he interacts with 8 customers in this age range. Find the probability that he will sell. (a) at least one insurance policy on this day. (b) exactly 2 insurance policies on this day.

Kaya is planning a 4-day vacation at the beach. The forecast has a 25% chance of rain for each of those three days. What is the probability that it will rain just one of the four days? Show calculations and explain reasoning!

John runs a computer software store. Yesterday he counted 127 people who walked by his store, 58 of whom came into the store. Of the 58, only 25 bought something in the store. For each of the following questions, answer using probability notation. Estimate the probability that a person who walks by the store will enter the store.

The probability of winning a game of chance is 0.39. Find the probability of winning the game for the 7th time on the 12th attempt at the game.

A high school baseball player has a 0.285 batting average. In one game, he gets 5 at bats. What is the probability he will get at least 2 hits in the game?

Find the probability that z is greater than -1.72.

A high school baseball player has a 0.203 batting average. In one game, he gets 5 bats. What is the probability he will get at least 2 hits in the game?

Draw a card from an ordinary deck of 52 cards. Find the probability of getting (I) a red or a jack. (II) not a jack.

Larry and Curly decide to have a chess match. The probability of Larry winning is 0.4. Each time Larry wins, he gains confidence and the probability of winning the next game increases by 0.1. Each time he loses, his confidence goes down and his probability of winning the next game decreases by 0.05. Determine the probability that in a three game match Larry wins at least two games.   please write clearly thank you.