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You decide to grow your own tomato plant (A Cosmonaut Yuri to be exact). Define X...

You decide to grow your own tomato plant (A Cosmonaut Yuri to be exact).

Define X to be a random variable denoting how many tomatoes your tomato plant will grow. The probability mass function (pmf) of X is as follows:

x 0 1 2 3 4 5 6 7
P(X=x) .14 .16 .15 .10 .15 .08 .12 .1

Find the probability that you will get four tomatoes.

Find the probability that you will get at least two tomatoes.

Find the probability that you will get less than three tomatoes.

Find the probability that you will get greater than two tomatoes

Find the probability that you will get at most four tomatoes.

Compute the expected number of tomatoes (the expectation X).

Compute the expected value of

Compute the variance of X

Compute the standard deviation of X

Find the probability that the number of tomatoes you will get is less than 5 but greater than 1.

Math   Statistics-And-Probability   
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