A marksman hits a target 0.73 of the time. He fires 10 shots at the target....

A marksman hits a target 0.73 of the time. He fires 10 shots at the target. Find the probability that he make exactly 8 hits using the binomial distribution.

The campus bookstore asked a random set of freshmen (group 1) and seniors (group 2) as to how much they spent on textbooks in that term. The books store would like to test if the average spending of Freshmen is at least $5.0 more than that of seniors. Which of the following is the correct alternative hypothesis (H1)?

Scores on a standard test are normally distributed with a mean of 37.3 and a standard deviation of 8. Find the probability that the score is between 37 and 42.
Let X be a continuous random variable whose probability density function is: f(x) = 1.5 x² for -1 < x < 1 and 0 else where.

Find the probability that the random variable is between -1.6 and -0.7.

HOUR DEADLINE PLEASE HELP

Solutions

Expert Solution

The binomial distribution is used to calculate the probabilities when the probability of success and the number of trials are known. The normal distribution provides a good estimation to the binomial distribution. The probability density function of a random variable is used to find the cumulative distribution function which can then be used to find the probabilities up to a certain point.

orchestra answered 1 year ago

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