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Chapter 7: Q. 2 (page 461)

The probability distribution for the number of heads in four tosses of a coin is given by

Number of heads01234
Probability0.0625
0.2500
0.3750
0.2500
0.0625

The probability of getting at least one tail in four tosses of a coin is

(a) 0.2500. (b)0.3125(c) 0.6875(d)0.9375 (d) None of these

Short Answer

Expert verified

The probability of getting at least one tail in four tosses of a coin is option (d)0.9375.

Step by step solution

01

Given information

The probability distribution for the number of heads in four tosses of a coin is

Number of heads1
2
3
4
5
Probability0.0625
0.2500
0.3750
0.2500
0.9375
02

Explanation

Because the probability distribution provides you with the number of heads, you can figure out how many tails there are by performing4-(number of heads)

After that, you must add the probability of the tails together

Add P(0)+P(1)+P(2)+P(3), the possibility of having at least one tail

.0625+.2500+.3750+.25=.9375

The correct option is (d).

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Most popular questions from this chapter

Predict the election Just before a presidential election, a national opinion poll increases the size of its weekly random sample from the usual 1500 people to 4000 people.

(a) Does the larger random sample reduce the bias of the poll result? Explain.

(b) Does it reduce the variability of the result? Explain

The candy machine Suppose a large candy machine has 15% orange candies. Use Figure 7.13 (page 435) to help answer the following questions.

(a) Would you be surprised if a sample of 25 candies from the machine contained 8 orange candies (that's 32%orange)? How about 5 orange candies (orange)? Explain.

(b) Which is more surprising: getting a sample of 25 candies in which localid="1649737645698" 32%are orange or getting a sample of 50 candies in which localid="1649737650189" 32%are orange? Explain.

Run a mile During World War II, able-bodied male undergraduates at the University of Illinois participated in required physical training. Each student ran a timed mile. Their times followed the Normal distribution with mean 7.11minutes and standard deviation 0.74minute. An SRS of 100of these students has mean time x炉=7.15minutes. A second SRS of size100has mean x炉=6.97minutes. After many SRSs, the values of the sample mean x follow the Normal distribution with mean 7.11 minutes and standard deviation0.074minute.

(a) What is the population? Describe the population distribution. (b) Describe the sampling distribution of x. How is it different from the population distribution?

A study of voting chose 663registered voters at random shortly after an election. Of these, 72%said they had voted in the election. Election records show that only56% of registered voters voted in the election. Which of the following statements is true about the boldface numbers?

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