Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 210 feet and a standard deviation of 50 feet. Let X = distance in feet for a fly ball. a) Give the distribution of X. X~____(___,___) b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 188 feet? (Round your answer to four decimal places.)

Assume that females have pulse rates that are normally distributed with a mean of μ = 74.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 78 beats per minute. The probability is. (Round to four decimal places as needed.) b. If 25 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 78 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. C. Since the…

Assume that females have pulse rates that are normally distributed with a mean of u= 76.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 83 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 83 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O C. Since the distribution is of individuals, not…

Assume that adults have IQ scores that are normally distributed with a mean of 95.3 and a standard deviation of 16.4. Find the probability that a randomly selected adult has an IQ greater than 125.0. (Hint: Draw a graph.) The probability that a randomly selected adult from this group has an IQ greater than 125.0 is ☐ . (Round to four decimal places as needed.)

Shaded diagram.. 3. The random variable X has a normal distribution with mean 80 and standard deviation 6. Choose random samples of size 40 from this distribution. Let X be the random variable of sample means. (5) a. What is the distribution of X ? (5) b. What is the mean of X ? y

should be 4 decimal places

The average amount of money spent for lunch per person in the college cafeteria is $6.24 and the standard deviation is $2.05. Suppose that 6 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.What is the distribution of ¯x?

Assume that females have pulse rates that are normally distributed with a mean of u = 76.0 beats per minute and a standard deviation of o= 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 70 beats per minute and 82 beats per minute. The probability is- (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, find the probability that they have pulse rates with a mean between 70 beats per minute and 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O B. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size. O C. Since the…