When Aubree goes bowling, her scores are normally distributed with a mean of 190 and a standard deviation of 14. Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 190

Standard deviation = 14

Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?

148 = 190 - 3*14

So 148 is 3 standard deviations below the mean.

232 = 190 + 3*14

So 232 is 3 standard deviations above the mean

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: