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FieniChoonin

Answered 2021-09-22
Author has **23752** answers

asked 2021-11-16

The weather forecaster says that the probability of rain on Saturday is \(\displaystyle{20}\%\) and the probability of rain on Sunday is \(\displaystyle{30}\%\).

a. Can you determine the probability of rain over the weekend (Saturday or Sunday)?

a. Can you determine the probability of rain over the weekend (Saturday or Sunday)?

asked 2021-11-16

If the probability that it rains on Thursday is 30% and the probability that it rains on Sunday is 20%, what is the probability that it does not rain on both days?

asked 2021-06-28

If there is a 25% chance that it will rain on any given day in Seattle, find the probability that it will rain for three consecutive days.

asked 2021-06-10

Two college friends are taking a weekend road trip. Friday they leave home and drive 87 miles north for a night of dinner and dancing in the city. The next morning they drive 116 miles east to spend a day at the beach. If they drive straight home from the beach the next day, how far do they have to travel on Sunday?

asked 2021-07-02

An investor plans to put $50,000 in one of four investments. The return on each investment depends on whether next year’s economy is strong or weak. The following table summarizes the possible payoffs, in dollars, for the four investments.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.

Certificate of deposit

Office complex

Land speculation

Technical school

amp; Strong amp;6,000 amp;15,000 amp;33,000 amp;5,500

amp; Weak amp;6,000 amp;5,000 amp;−17,000 amp;10,000

Let V, W, X, and Y denote the payoffs for the certificate of deposit, office complex, land speculation, and technical school, respectively. Then V, W, X, and Y are random variables. Assume that next year’s economy has a 40% chance of being strong and a 60% chance of being weak. a. Find the probability distribution of each random variable V, W, X, and Y. b. Determine the expected value of each random variable. c. Which investment has the best expected payoff? the worst? d. Which investment would you select? Explain.

asked 2021-09-22

Max and Stephen are at a restaurant and will each order either a burger or a pizza. The probability Max orders a burger is 0.6 (i.e. 60%). The probability that Stephen orders a pizza is 0.5. The probability that both Max and Stephen order a burger is 0.34. Answer the following questions.
Hint: Let M be the event that Max orders a burger and S be the event that Stephen orders a burger.
Calculate the probability that either Max or Stephen (or both) orders a burger.

asked 2021-09-12

In a bolt factory, three machines Z, F and W makes 10%, 60% and 30% respectively of the products.

It is known from the past experience that 4%, 7% and 9% of the products by each machine respectively are defective.

Now suppose that a finished product is randomly selected.

If the selected bolt is defective then what is the probability that the bolt was produced by Z machine

It is known from the past experience that 4%, 7% and 9% of the products by each machine respectively are defective.

Now suppose that a finished product is randomly selected.

If the selected bolt is defective then what is the probability that the bolt was produced by Z machine