Construct a tree diagram to represent this situation.

Short Answer

Expert verified

The tree diagram is:

Step by step solution

01

Step 1. Given Information

In California, Texas, and New York, 40percent, 25 percent, and 35 percent of computers are built, accordingly. Laptops created in California, Texas, and New York account for 75 percent, 70 percent, and 50 percent of the total.

02

Step 2. Concept Used

The universal multiplication rule P(AB)=P(A)×P(B|A)can be used to get the probability that events A and B both occur, where P(B|A)is the conditional probability that event Boccurs provided that eventAhas already occurred. There's another technique to simulate random behaviour that incorporates a sequence of outcomes, such as tossing coins, where the outcome of one toss is independent of the outcome of any other throw. A tree diagram is what it's called.

03

Step 3. Explanation

A tree diagram might be created using the information provided as follows:

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Most popular questions from this chapter

Spinning a quarter With your forefinger, hold a new quarter (with a state featured on the reverse) upright, on its edge, on a hard surface. Then flick it with your other forefinger so that it spins for some time before it falls and comes to rest. Spin the coin a total of 25 times, and record the results.

(a) What’s your estimate for the probability of heads? Why?

(b) Explain how you could get an even better estimate.

Simulation blunders Explain what’s wrong with each of the following simulation designs.

(a) According to the Centers for Disease Control and Prevention, about 26%of U.S. adults were obese in 2008. To simulate choosing 8adults at random and seeing how many are obese, we could use two digits. Let 01to 26represent obese and 27to 00represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.

(b) Assume that the probability of a newborn being a boy is 0.5. To simulate choosing a random sample of 9babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.

Sampling senators Refer to Exercise 50.

(a) Construct a Venn diagram that models the chance process using events R: is a Republican, and F: is female.

(b) Find P(RF) Interpret this value in context.

(c) Find P(RcFc) Interpret this value in context.

If I toss a fair coin five times and the outcomes are TTTTT, then the probability that tails appears on the next toss is (a) 0.5. (b) less than 0.5 (c) greater than 0.5 (d) 0 (e) 1 Exercises 33 to 35 refer to the following setting. A basketball player makes 47% of her shots from the field during the season.

Fill ’er up Refer to Exercise 83. Given that the customer paid with a credit card, find the probability that she bought premium gas.

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