Question

In: Statistics and Probability

1) You study the number of cups of coffee consumer per day by students and discover...

1) You study the number of cups of coffee consumer per day by students and discover that it follows a discrete uniform probability distribution with possible values for x of 0, 1, 2 and 3.

What is the expected value of the random variable x?

2) The weight of cats is a continuous random variable and has a normal distribution with a mean of 10.27 pounds and a standard deviation of 4.26 pounds.

What is the probability that a randomly chosen cat weighs exactly 11.327 pounds?

3) A florist looks at his sales and discovers that the probability that a randomly selected flower sold is a rose is 0.40.

The probability that a randomly selected flower sold is white is 0.10.

The probability that a randomly selected flower sold is a white rose is 0.03.

Given that a randomly selected flower sold is white, what is the probability that it is also a rose?

4) During the past five years, the probability that a California consumer has bought a burrito (event B) is 0.70 and the probability that a California consumer has bought a Honda (event H) is 0.10.

The probability that a California consumer has bought both a burrito and Honda in the past five years is 0.05.

Are the purchases of burritos and Hondas in the past five years among California consumers independent events?

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