The percent of fat calories that a person in America consumes each day is normally distributed with a mean of about 36 and a standard deviation of 10. Suppose that one individual is randomly chosen. Let X = percent of fat calories. (a) Find the z-score corresponding to 28 percent of fat calories, rounded to 3 decimal places. (b) Find the probability that the percent of fat calories a person consumes is more than 28. (c) Shade the area corresponding to this probability in the graph below. (Hint: The x-axis is the z- score. Use your z-score from part (a), rounded to one decimal place). Shade: Left of a value Click and drag the arrows to adjust the values. 4 -2 2 3. -1.6 (d) Find the maximum number for the lower quarter of percent of fat calories. Round your answer to 3 decimal places. (e) Sketch the graph and write the probability statement. BIUX, x' E I 3E-E- I I e 8 Edit- Insert- Formats- <>

Q: The average birth weight of elephants is 220 pounds. Assume that the distribution of birth weights…

A: Solution-: Given: μ=220,σ=50 We want to find the birth weight of elephants at the 90th percentile.

Q: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a…

A: Let n1 be the sample size of alex  n2 be the sample size of chris Given  n1=10, n2=15 , standard…

Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…

A: The bone density test scores that can be used as cutoff values separating the lowest 2​% and highest…

Q: A person in the U.S. eats about 25 pounds of M&M's per year with a standard deviation of 3 pounds.…

A: Given information Mean µ = 25 pounds Standard deviation σ = 3 pounds Z = -2

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: Solution: Let X be the average percent of fat calories. From the given information, X follows normal…

Q: Activity 2 of 3 What percent of Braves players fall between 230 and 270? O A. 95.4% O B. 47.7% O C.…

A: Answer Option c = 68.2% is correct

Q: A set of data items is normally distributed with a mean of 500. Find the data item in this…

A:

Q: The scores on a standardized test are normally distributed with a mean of 105 and standard deviation…

A: Here, mean is 105 and standard deviation is 10.

Q: The weight of new born babies is normally distributed with a mean of 3.5Kg and a standard deviation…

A:

Q: The mean score on a driving exam for a group of​ driver's education students is 60 ​points, with a…

A: According to the given information in this question Mean is 60 Standard deviation is 4 K is 2

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

A:

Q: The weights of men in their 30s are normally distributed with a mean of 190 pounds and a standard…

A: From the provided information, Population mean (µ) = 190 pounds Population standard deviation (σ) =…

Q: The scores on a test are normally distributed with a mean of 70 and a standard deviation of 14, find…

A:

Q: The scores on a mathematics exam have a mean of 71and a standard deviation of 8. Find the x-value…

A: Let X denote the scores on a mathematics exam and it follows normal distribution with mean of…

Q: A psychologist finds that the intelligence quotients of a group of patients are normally…

A: According to the provided information,

Q: Assume that the readings at freezing on a bundle of thermometers are normally distributed with a…

A: We have given that  The readings at freezing on a bundle of thermometers are normally distributed…

Q: The test scores are normally distributed with a mean of 78 and a standard deviation of 9. If 39…

A: Obtain the probability that the average score is between 80 and 84. The probability that the average…

Q: Scores on a test are normally distributed with a mean of 123 and a standard deviation of 20. What…

A:

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Consider a random variable X that denotes the test scores. Therefore , X~Nμ=1527,σ=315

Q: A variable is normally distributed with a mean of 100 and a standard deviation of 10. A student…

A: From the given information,   Mean = 100 Standard deviation = 10

Q: particular fruit's weights are normally distributed, with a mean of 395 grams and a standard…

A: We have given that Mean=395

Q: Energy consumption for single family comes is a mean of 1050kw and standard deviation of 218kw. Find…

A: Given information- Population mean, μ = 1050 kw Population standard deviation, σ = 218 kw We have to…

Q: In a population of exam scores, a score of X = 88 corresponds to z = 2 and a score of X = 79…

A: From the provided information, A score of X = 88 corresponds to z = 2 A score of X = 79 corresponds…

Q: The amount of radiation that a person can absorb and survive varies from person to person. It is…

A: Given that.   X~N( μ , ?^2 )   μ=500     , ?=150   Z-score =( x - μ )/?

Q: 2000 freshmen at state university took a biology test. the scores were normally distributed with a…

A: Solution: Let X be the scores. From the given information, X follows normal distribution with mean…

Q: The scores on a standardized test are normally distributed with a mean of 90 and standard deviation…

A: The test score is 0.6 standard deviations above the mean is obtained below: From the given…

Q: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

A: Let X be the resting heart rate of a physically fit man. Assume that the resting heart rate for fit…

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX&lt;130+PX&gt;250=P…

Q: A set of final examination grades in an Introductory Statistics course is normally distributed with…

A: We have given that,  X be the test score with mean (μ) = 73 and standard deviation (σ) = 8 and The…

Q: c. Find the minimum number for the upper quarter of percent of fat calories.

A: The mean is 38 and the standard deviation is 10.

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: It is given that Mean of test scores = 1537 And SD = 315

Q: The United Nations stores statistics about all the live births in the United States. The latest data…

A:

Q: A professor gives a test to her calculus students. The scores are approximately normally distributed…

A: The normal distribution is the most useful theoretical distribution for continuous variables.…

Q: The scores on the final exam in a statistics course are close to being normally distributed. The…

A: Normal distribution: It is a continuous probability distribution, that is bell-shaped with lighter…

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

A: Standard normal distribution: The standard normal distribution is a special case of normal…

Q: In a large section of a statistics class, the points for the final exam are normally distributed,…

A:

Q: Scores on the SAT test have a mean of 1518 and a standard deviation of 325. If 100 students are…

A: Scores on the SAT test have a mean of 1518 and a standard deviation of 325.

Q: The scores on a test are normally distributed with a mean of 150 and a standard deviation of 30.…

A: The normal distribution:A continuous random variable X is said to follow normal distribution if the…