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Nia R

Nia R.

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Records show that the average number of email messages received per minute is 7.3. Find the probability of at least 3 email messages received in a given minute.

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Pritesh Ranjan verified

Numerade educator

A study indicates that 78% of teenagers have have a tattoo. You randomly sample 7 teenagers. Find the probability that more than 5 have a tattoo.

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INSTANT ANSWER

Which of the following experiments described below can be classified as a binomial experiment? a) A gambling house advertises the following game. A player rolls two dice. If the sum of the dice is 11 or 12, the house pays the player $10; otherwise, the player pays the house $1. A player pays this games until he has won four times. b) A sample of 20 families is selected from a list of 150,000 families and the average income per family is computed for the sample. c) A large state university has over 30,000 undergraduates, 10% of whom are on the dean's list. A sample of five undergraduates will be taken and the number that on the dean's list recorded. d) A sequence of 10 shots are made at a target. The shooter's initial probability of a bull's-eye is .4, but he expects his probability of obtaining a bull's-eye to go up by about 2% with each shot. He keeps a count of the results.

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Suppose you a play a game with a biased coin where the probability of heads is 0.9. You play each game by tossing the coin once. If you toss a head, you pay 10 dollars. If you toss a tail, you get 4 dollars. Let X = amount of money that you exchange from 1 toss (positive and negative). Complete the following probability distribution of X: | x | | 4 | |---|---|---| | P(X=x) | 0.9 | | How much would you expect to leave the game with? Should you play the game? No, I will lose money It doesn't matter because I will break even Yes, I will make money.

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