If X is normally distributed and P(X<20)=0.5 and P(X>26)=0.0228, find the mean and standard deviation of X. (Make it readable)
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A: According to the provided infotrmation, p = 0.59 n= 250
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Q: Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1. If…
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A: Assume that adults have IQ scores that are normally distributed with μ=105 and a standard deviation…
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A: given data normal distributionμ = 12σ = 1.11n= 10
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Q: Suppose that x is normally distributed with a mean of 20 and a standard deviation of 15. What is P(x…
A: given data, normal distribution, μ=20σ=15p(X≥55.40)=?
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Q: If P(−b<z<b)=0.98P(-b<z<b)=0.98, find b.
A: Given that Z ~ N(0, 1) And P(-b < Z < b) = 0.98
Q: A distribution is given as X~U (2,10). What is the 75th percentile? What is the 40th percentile?…
A: It is given that the X follows Uniform distribution with a as 2 and b as 10. X ~ U (2, 10).
If X is
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- A normal distribution has mean u= 56 and standard deviation o = 20. Find and interpret the z-score forx=59. The z-score for x = 59 is So 59 is standard deviations (Choose one) v the mean u = 56.Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(z>d)=0.8355, find d.IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. (a) Find the z-score for an IQ of 119, rounded to three decimal places. (b) Find the probability that the person has an IQ greater than 119. (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 -1 2 3 4 -1.5 (d) MENSA is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the MENSA organization.
- The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days and a standard deviation of 14 days. A distribution of values is normal with a mean of 267 and a standard deviation of 14. What percentage of pregnancies last fewer than 274 days? P(X < 274 days) Let XX represent the full height of certain species of tree. Assume that XX is normally distributed with a mean of 82.1 feet and a standard deviation of 47.9 feet.Find the probability that the full height of a randomly selected tree is greater than 154 feet. P(X>154)The random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x P(x) 0.125 0.375 2. 0.375 0.125 3. OA. mean: 1.50; standard deviation: 0.76 OB. mean: 2.25, standard deviation: 0.76 OC. mean: 1.50; standard deviation: 087 OD. mean 2.25, standard deviation 0 87 Click to select your anewer Type here to search 4.Suppose X has a normal distribution with mean 80 and standard deviation 5. How many standard deviations above or below the mean is 70? None of the other choices is correct 10 standard deviations below the mean O2 standard deviations above the mean 2 standard deviations below the mean
- Assume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(-b<z<b)=0.9716, find b.Assume x is normally distributed with a mean of 2 and a standard deviation of 2. Find: a.P(X=2) b.P(X<2) c.P(X>=2) d.P(2 < X < 4)Suppose X ~ N(3, 1.2). What value of x is two standard deviations to the right of the mean?
- Find P(27 < X < 32) if X is normally distributed with mean 24 and standard deviation 5.Fawns between 1 and 5 months old have a body weight that is approximately normally distributed with mean ? = 27.1 kilograms and standard deviation ? = 4.0 kilograms. Let x be the weight of a fawn in kilograms.Hugo averages 46 words per minute on a typing test with a standard deviation of 11 words per minute. Suppose Hugo's words per minute on a typing test are normally distributed. Let X= the number of words per minute on a typing test. Then, X∼N(46,11).Suppose Hugo types 45 words per minute in a typing test on Wednesday. The z-score when x=45 is ________. This z-score tells you that x=45 is ________ standard deviations to the ________ (right/left) of the mean, ________.
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