For problems 4 - 9, use the following information.

A 2019 study by the Pew Research Center found that 63% Instagram users visit the site or app on a daily basis. Suppose we take a random sample of eight Instagram users. Let X = number of users who visited Instagram that day. Find the following probabilities:

4) (27 points) Construct a Probability Distribution Table. Round all probabilities to 4 decimal places.

I encourage you to use technology like your calculator, Excel, or a website to build your probability table.

Use your table from #4 to find the following probabilities.

5)(1 point) (=7)

6)(2 points) (8)

7)(4 points) (35)

8)(4 points) (>4)

9)(2 points) (2<<4)

Use the following information for problems 10 - 13.

The Bronx Zoo reported that the mean wingspan of their Monarch Butterflies is 7.8 cm. Assume that the distribution of wingspan stays normal, with a standard deviation of 0.7 cm.

Sketch the normal (bell) curve for each problem and show each calculation.

10) (4 points) Find the probability that a randomly selected Monarch Butterfly has a wingspan less than 7 cm.

11) (5 points) Find the probability that a randomly selected Monarch Butterfly has a wingspan greater than 8 cm.

12) (6 points) Find the probability that a randomly selected Monarch Butterfly has a wingspan between 6.6 and 8.2 cm.

13) (1 point) Find the 50th percentile of the wingspan of Monarch Butterflies at the Bronx Zoo.