Heights of women are normally distributed with a mean of 62.1 inches and a standard deviation of 2.3 inches. Find the probability that the height of a woman is less than 64 inches?
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- A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If an applicant is randomly selected, find the probability that the applicant's rating will be between 205 and 275. (Round your answer to 4 decimal places.)A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 175.2-cm and a standard deviation of 1.8-cm. For shipment, 20 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is greater than 176.2-cm.P(M > 176.2-cm) = ________Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.The heights of adult women are normally distributed with a mean of 68 inches and a standard deviation of 3.2 inches. What is the probability that a randomly chosen adult woman will have a height greater than 62.6 inches? List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. There is a chance that a randomly chosen adult woman will have a height greater than 62.6 inches. Question Help: D Post to forum
- Scores from the midterm statistics exam followed a normal distribution with a mean of 69 and a standard deviation of 10. If a student had to score at least an 93 to earn an A, what is the probability that a student earned an A? (Use a table or technology. Round your answer to four decimal places.)Assume that the average weight of an NFL player is 245.7 lbs with a standard deviation of 34.5 lbs. The distribution of NFL weights is not normal. Suppose you took a random sample of 32 players. What is the probability that the sample average will be between 240 and 252 lbs? Round your answer to three decimal places, eg 0.192.The annual income for a sample of 450 part-time students is normally distributed with a mean income of $31,000 and a standard deviation of $3,000. What is the probability their annual income is $22,000-$28,000? Do not use Excel Use Z SCORE
- uppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 269 feet and a standard deviation of 43 feet. Let X be the distance in feet for a fly ball.b. Find the probability that a randomly hit fly ball travels less than 307 feet. Round to 4 decimal places. c. Find the 90th percentile for the distribution of distance of fly balls. Round to 2 decimal places. feetz Scores LeBron James, one of the most successful basketball players of all time, has a height of 6 feet 8 inches, or 203 cm. Based on statistics from Data Set 1 “Body Data” in Appendix B, his height converts to the z score of 4.07. How many standard deviations is his height above the mean?The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 0.964 grams and a standard deviation of 0.296 grams. Find the probability of randomly selecting a cigarette with 0.668 grams of nicotine or less. Round your answer to four decimals.
