# Question: The following table is a partial probability distribution for the

The following table is a partial probability distribution for the MRA Company’s projected profits (x 5 profit in $1000s) for the first year of operation (the negative value denotes a loss).

x f(x)

2100 .......... .10

0 .......... .20

50 .......... .30

100 .......... .25

150 .......... .10

200

a. What is the proper value for f(200)? What is your interpretation of this value?

b. What is the probability that MRA will be profitable?

c. What is the probability that MRA will make at least $100,000?

x f(x)

2100 .......... .10

0 .......... .20

50 .......... .30

100 .......... .25

150 .......... .10

200

a. What is the proper value for f(200)? What is your interpretation of this value?

b. What is the probability that MRA will be profitable?

c. What is the probability that MRA will make at least $100,000?

**View Solution:**## Answer to relevant Questions

The following table provides a probability distribution for the random variable x.x f(x)3 .......... .256 .......... .509 .......... .25a. Compute e(x), the expected value of x.b. Compute σ2, the variance of x.c. ...In Gallup’s Annual Consumption Habits Poll, telephone interviews were conducted for a random sample of 1014 adults aged 18 and over. One of the questions was, “How many cups of coffee, if any, do you drink on an average ...A study conducted by the Pew Research Center showed that 75% of 18–to 34-year-olds living with their parents say they contribute to household expenses (The Wall Street Journal, October 22, 2012). Suppose that a random ...The Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United States. For 15 restaurants located in Boston, the average price of a dinner, including one drink and ...The random variable x is known to be uniformly distributed between 10 and 20.a. Show the graph of the probability density function.b. Compute P(x < 15).c. Compute P(12 ≤ x ≤ 18).d. Compute E(x).e. Compute Var(x).Post your question