Based on historical data, your manager believes that 29% of the company's orders come from first-time customers. A random sample of 169 orders will be used to estimate the proportion of first-time-customers. What is the probability that the sample proportion is between 0.24 and 0.46

Probability that the sample proportion is between 0.24 and 0.46 is 0.936.

Step-by-step explanation:

We are given that based on historical data, your manager believes that 29% of the company's orders come from first-time customers.

A random sample of 169 orders will be used to estimate the proportion of first-time-customers.

Let = sample proportion

Now, the z score probability distribution for sample proportion is given by;

         Z = ~ N(0,1)

where, p = % of the company's orders that come from first-time customers = 29%

            n = sample of orders = 169

So, probability that the sample proportion is between 0.24 and 0.46 is given by = P(0.24 < < 0.46) = P( < 0.46) - P( 0.24)

 P( < 0.46) = P( < ) = P(Z < 4.4) = 0.99999

 P( 0.24) = P( ) = P(Z -1.52) = 1 - P(Z < 1.52)    

                                                                = 1 - 0.93574 = 0.06426    

 Therefore, P(0.24 < < 0.46) = 0.99999 - 0.06426 = 0.936

Hence, probability that the sample proportion is between 0.24 and 0.46 is 0.936.

spinning a 1, 2, or 3. option d.

step-by-step explanation: when spinning a number graph up to 4, and aiming for any number less than 3, that automatically eliminates the number 4. now you have two numbers to spin on that are less than 3, but the number 3 is included in this question because it's no greater of an number than itself. i hope this you : )