SAT scores in a state are normally distributed with a mean of 1411 and a standard deviation of 88. 1) Find the probability that one of the scores in the state is less than 1462
Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…
A: Let "X" be the IQ score of the adults.
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A: Given: μ=210 and σ=12. The z-score is calculated asz=x-μσ
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A: Given: μ=1250 and σ=200 The z is calculated asz=x-μσ
Q: Assume that adults have IQ scores that are normally distributed with a mean of 97.8 and a standard…
A: Given a mean of 97.8 and a standard deviation of 23
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A: It is given that the test is normally distributed with mean 100 and standard deviation is 15. The…
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Q: Find the probability that 1 man has weight greater than 160 lb. Assume that weights of males are…
A: Let X represent the random variable Mean=182.9 SD=40.8 X~ Normal (182.9, 40.82)
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A: Solution: Let X be the salary for workers at a company. From the given information, X follows normal…
Q: A particular fruit's weights are normally distributed, with a mean of 726 grams and a standard…
A: Given:μ = 726σ = 21Thus, X ~ N(μ = 726, σ = 21)
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A: Solution: Let X be the blood pressure reading. From the given information, X follows normal…
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Q: ores are normally distributed with a mean of 1518 and a standard deviation of 325. If 1 SAT score…
A: Given: μ=1518, σ=325 The corresponding z-value needed to be computed is: If 1 SAT score is randomly…
Q: Find the probability that a randomly selected adult has an IQ greater than 129.9.
A: Let X denote the IQ scores. Given that X follows N(mean = 98.6, SD = 18.5), then Z = (X - mean)/SD…
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Q: Assume that blood pressure readings are normally distributed with a mean of 135 and a standard…
A: According to the given information, we have Mean = 135 Standard deviation = 4.7 Sample size = 35
Q: The average GPA at a college is 2.79 with a standard deviation of 0.6. Find the probability that 7…
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Q: The mid-term exam scores in a statistics class were normally distributed with a mean of 70 and…
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Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…
A: We are given,μ = 196σ = 22n = 60
Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…
A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ
Q: A population is normally distributed with a mean of 50 and a standard deviation of 10. Find the…
A: Given data,Mean μ=50sd σ=10P(X<44)=?
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Q: find the mean and standard deviation of the number of heads obtain
A: Let q be the probability of obtaining tail and p be the probability of obtaining head. Probability…
Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…
A: From the provided information, Mean (µ) = 161 Standard deviation (σ) = 4.56 X~N (161, 4.56)
Q: Assume that adults have IQ scores that are normally distributed with a mean of 104.7 and a standard…
A: It is given that the IQ score follows normal distribution with mean 104.7 and standard deviation…
Q: Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of…
A: Given: Printing speed = X X is normally distributed with mean 17.57 ppm and standard deviation of 3…
Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…
A: Let X denote the lengths of the steel rods are normally distributed with a mean of μ=94.6 cm and a…
Q: Assume that adults have IQ scores that are normally distributed with a mean of 104 and a standard…
A: Solution Let "X" be the IQ score of adults.
Q: Find the probability that an observation taken from a standard normal population will be more than…
A: We have to find given probability..
Q: assume that blood pressure readings are normally distributed with a mean of 135 and a standard…
A:
Q: Assume females have pulse rates that are normally distributed with a mean of 72 beats per minute and…
A: Given that: Mean = 72 beats S. D. = 12.5 beats Sample size (n) = 25 By using standard normal…
Q: 18 men will be tested for the discus throw. if Mu= 112ft and standard deviation= 13ft. find the…
A: The normal distribution:A continuous random variable X is said to follow normal distribution with…
SAT scores in a state are
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- Assume that adults have IQ scores that are normally distributed with a mean of 98.1 and a standard deviation of 17.5 find the probability that a randomly selected adult has an IQ greater than 127.5.The grades of a statistics midterm are normally distributed with a mean of 79 and a standard deviation of 3.5. using a table, what is the probability that a student will receive a grade between 74 and 80?The green turtle migrates across the Southern Atlantic in the winter, swimming great distances. A study found that the mean migration distance was 2,200 kilometers and the standard deviation was 625 kilometers. Assume that the distances are normally distributed. Find the probability that a randomly selected green turtle migrates a between 1,900 kilometers and 2,200 kilometers.
- Solve the problem.Assume that mountain lions' weights are normally distributed with a mean of 62.6 kilograms and a standard deviation of 2.6 kilograms. If 70 mountain lions are randomly selected, find the probability that they have a mean weight between 61.9 kilograms and 62.8 pounds.Paul drives to work each moming, and the trip takes an average of u- 38 minutes. The distribution of driving times is approximately normal with a standard deviation of a- 5 minutes. For a randomly selected morning, what is the probability that Paul's drive to work will take less than 35 minutes? O 02743 O 0.3446 O 0.6554 O 0.7257The average amount customer spend yearly at a local grocery store is $635.55 .  Assume the variable is normally distributed.  If the standard deviation is $94.41 find the probability that a randomly selected  customer spends between $569.46 and $758.28 
- On a mathematics test in a high school, scores are normally distributed with a mean of 77 and a standard deviation of 16.8. A student is randomly selected. Find the probability that his/her score is between 60 and 80.The rate of return for firms on the stock market is normally distributed with a 7.5% average rate of return (the mean) with a standard deviation of 2.5%. A What proportion of firms will earn a return between 4% and 8%? B To the nearest percent find the probability of a firm earning 3% or less per year. If there are 1000 firms listed on the stock market, then how many firms earn a return of less than 3% a year? C To the nearest percent, find the probability of a firm earning 8% return in a year. if there are still 1000 firms listed on the stock markeet then how many firms will earn a return of 8% or higher? D What rate of return would put a firm in the top 20%?The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56 inches. Find the probability that the probability of height is less than 165 inches?
- Assume that adults have IQ scores that are normally distributed with a mean of 101.3 and a standard deviation of 20.2. Find the probability that a randomly selected adult has an IQ greater than 136.4An HP laser printer is advertised to print text documents at a speed of 18 ppm (pages per minute). The manufacturer tells you that the printing speed is actually a Normal random variable with a mean of 17.57 ppm and a standard deviation of 3 ppm. Suppose that you draw a random sample of 11 printers. Part i) Suppose the number of printers drawn is quadrupled. How will the standard deviation of sample mean printing speed change? O A. It will decrease by a factor of 4. OB. It will increase by a factor of 4. O C. It will increase by a factor of 2. O D. It will decrease by a factor of 2. OE. It will remain unchanged. Part ii) Suppose the number of printers drawn is quadrupled. How will the mean of the sample mean printing speed change? O A. It will decrease by a factor of 2. O B. It will decrease by a factor of 4 O C. It will increase by a factor of 4. O D. It will increase by a factor of 2. OE. It will remain unchanged. Part iii) Consider the statement: 'The distribution of the mean…Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard deviation of 17.3. Find the probability that a randomly selected adult has an IQ greater than 116.5.
