Question

In: Statistics and Probability

An archer can hit the bullseye on 30% of her shots. She shoots 5 arrows. Let...

An archer can hit the bullseye on 30% of her shots. She shoots 5 arrows. Let the variable x represent the number of arrows that hit the bullseye.
a) Using the formula (not the distributions on the TI84) find the probability that X=3.
b) Write out the probability distribution for X and draw the histogram.
c) Find the probability that X is less than 3.
d) Find the mean, variance, and standard of X.

Solutions

Expert Solution

This question can be solved using the method of binomial distribution . We have the value of success and failure of the event. The detailed solution is given below.

Histogram has not been drawn to perfect scale. It is for understanding purpose. But the nature of histogram will be same as shown below. As it was not mentioned in the question to draw to a perfect scale.

orchestra answered 1 year ago
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