3. Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabilities: a. b. P(X= x) What is the expected value of X? C. d. X 2.5 bars 1 bar 0.53 bars 0.0.5 bars 0 0.1 1 0.15 2 0.25 3 0.25 4 5 0.15 0.1

Find the following probabilities, where z∼n(0,1) a.p (−1.67≤ z ≤1.44) b.p (z>1.98)

A B C D E F G H 7 3 Create a discrete probability table with all possiblex values and all possible probabilities. For the x values, list 0 to 100. 8 4 From the table, create a Column Chart that visualizes all possiblex values and all possible probabilities. 9 10 11 12 13 | 1 2 From past data we know that the mean number of arrivals to buy tickets at the Family Fun Center in Tukwila on Saturday afternoon is 20 per 1/2 hour. Assume: The probability of a person arriving is the same for all equal-size intervals 3 4 Assume: The number of people arriving in any interval is independent of the number of people arriving in any other interval 1 Calculate the probability that 25 people will arrive in 1/2 hour 5 6 2 Calculate the probability that between 25 and 30 people (inclusive) will arrive in 1/2 hour J Note: put all formula inputs in cells, label them, and refer to them in formulas with cell references. K M

Suppose a life insurance company sells a $260,000 1-year term life insurance policy to a 20-year-old female for $280. According to the National Vital Statistics Report, 58(21), the probability that the female survives the year is 0.999544. Compute and interpret the expected value of this policy to the insurance company. The expected value is $ (Round to the nearest cent as needed.) Which of the following interpretations of the expected value is correct? Select the correct choice below and fill in the answer box to complete your choice. (Round to the nearest cent as needed.) A. The insurance company expects to make a maximum profit of $ B. The insurance company expects to make a profit of $ on every profit of $ C. The insurance company expects to make a minimum O D. The insurance company expects to make a profit of $ on every 20-year-old female it insures for 1 month. on every 20-year-old female it insures for 1 year. 20-year-old female it insures for 1 year. on every 20-year-old female…