he blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7. (All units are 1000 cells/μL.) Using the empirical rule, find each approximate percentage below. a. What is the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4

The approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.

Step-by-step explanation:

We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.

Let X = the blood platelet counts of a group of women

The z-score probability distribution for the normal distribution is given by;

                                Z  =    ~ N(0,1)

where, = population mean = 247.3

            = standard deviation = 60.7

Now, according to the empirical rule;

Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4, i.e;

         z-score for 65.2 =  

                                     =    = -3

         z-score for 429.4 =  

                                       =    = 3

So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.

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:

x

step-by-step explanation: