Find the variance and standard deviation of X
Q: The weight of all cars traveling on interstate highway I-84 is normally distributed with a mean of…
A: From the provided information,
Q: the number of computers sold per day at local computer store along with is corresponding…
A: From the given data: X P(x) X·P(x) X2·P(x) 0 0.1 0 0 1 0.2 0.2 0.2 2 0.3 0.6 1.2 3 0.2…
Q: The random variable X has a uniform distribution with values between 11 and 21. What is the mean…
A:
Q: Find the mean, variance, and standard deviation of the binomial distribution with n = 84 and p =…
A: Given that n = 84 p = 0.65
Q: If a female is randomly selected, find the probability that her pulse rate is between 69 beats per…
A:
Q: A flood-control system is designed such that the probability of the system capacity being exceeded X…
A: Given information: The table below shows the probability that in 30 years, the system capacity will…
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
Q: Assume that a randomly selected subject is given a bone density test. Those test scores are normally…
A:
Q: The average cholesterol content of a certain brand of eggs is 225 milligrams, and the standard…
A:
Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…
A: Let "X" be the height of a certain age group of people in inches.
Q: The average height of a certain age group of people is 53 inches. The standard deviation is 4…
A: Let X be the random variable from normal distribution with mean or average (μ) = 53 and standard…
Q: A baker knows that the daily demand for mango pies is a random variable that follows the normal…
A: Let "X" be the baker who knows that the daily demand for mango pies. To find z-value: Since the…
Q: Assume the readings on thermometers are normally distributed with a mean of 0 degrees Celsius and a…
A: We have to find out given probability..
Q: The life of a vacuum cleaner is normally distributed with mean of 2 years and a standard deviation…
A: Given: Mean(μ) = 2 years Standard deviation (σ) = 1 years
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)
Q: The random variable x has a normal distribution with standard deviation 25. It is known that the…
A:
Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…
A: Population mean μ=20.5, standard deviations σ=2.3 Let X be the assemble a bicycle X~N(μ=20.5,…
Q: X is a normally distributed random variable with a standard deviation of 3.50. Find the mean of X…
A:
Q: Denartment of Statistics Malaysia (DOSM) collects demographics concerning the 3 Depner of people in…
A: Given, X P(X) 2 0.27 3 0.23 4 0.30 5 0.14 6 0.05 7 0.01
Q: The net weight of a can of salmon is a random variable with a mean of 6.07 ounces and a standard…
A:
Q: A study conducted by the child mine institute found that children spend on average 5.5 minutes in…
A: The objective of this question is to find the probability that a randomly selected child spends more…
Q: assume the random variable x is normally distributed with mean u=50 and standard deviation =7. Find…
A:
Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…
A: Given Data: Let X represent the random variable Mean=153 Standard deviation=1.8 X~ Normal (153,…
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…
Q: Mean = 1103° C Median = 1104° C Standard deviation (S) = Variance (S2) = = Mode (m) = 1104° C No. of…
A: According to the given information in this question We need to calculate standard deviations and…
Q: A random sample of 18 light bulbs is drawn from a normally distributed population. The population…
A:
Q: The population mean is 20 inches and population standard deviation is 4 inches. A random sample of…
A: mean = 20 s =4
Q: X is a normally distributed random variable with a mean of 20 and a standard deviation of 4.75. The…
A:
Q: Suppose a random sample of exponential random variables X1, ..., Xn is taken. Find the meanand…
A: Step 1:The sample mean, denoted by ˉXˉ, of a random sample of exponential random variables…
Q: The mean time required to assemble a bicycle is 20.5 minutes and the standard deviation is 2.3…
A: The objective is to find the probabilities that the time required to assemble a bicycle is below 19…
Q: The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that…
A: GivenMean(μ)=6.04standard deviation(σ)=0.21Sample size(n)=33
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: The average height of a certain age group of people is 53 inches. The standard deviation is 4…
A: Solution-: Given: μ=53inches,σ=4inches We find, P(a selected individual's height will be greater…
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: If the mean and the standard deviation of a continuous random variable that is normally distributed…
A: Solution
Q: Mean= Variance= B Standard Deviation= 19 20 21 Find the mean, variance, and standard deviation of…
A: Given that Probability distribution table x 19 20 21 22 23 P(x) 0.24 0.23 0.31 0.11 0.11…
The random variable X representing the number of errors per 100 lines of software code, has the following probability distribution:
x | 2 | 3 | 4 | 5 | 6 |
PX(x) | 0.01 | 0.25 | 0.4 | 0.3 | 0.04 |
Find the variance and standard deviation of X
Step by step
Solved in 3 steps
- 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.A psychopathologist records the number of criminal offenses among teenage drug users in a nationwide sample of 1,201 participants. To measure the variance of criminal offenses, he computes SS = 10,800 for t his sample. Compute the standard deviation.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.
- A random variable X is normally distributed with mean = 80 and standard deviation = 4.5. What is the probability that X is less than 75.Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?Scenario: Suppose a financial institution holds a well diversified $35,500,000 position in stocks. The variance of this position in relation to the overall S&P is equal to 1.95. Over the past year the average daily variation of the S&P is 160 basis points with a standard deviátion of 80 basis points. The z-score is 1.96. What is the stock value change that corresponds to a 95% probability that no stock changes will exceed this value? O 162.574 basis points 465.76 basis points 132 basis points O 292 basis points
- According to a poll, individuals keep their mobile phones for an average of 1.4 years before purchasing a new one. The standard deviation for the year is 0.24 year. A mobile phone user is chosen at random. Determine the likelihood that the user will keep their existing phone for less than a year before purchasing a new one. Assume that the variable x has a regularly distributed distribution.The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the standard deviation is 7 minutes. Assume the variable is normally distributed, find the probability that the mean of 50 randomly selected adults finished the test in less than 35 minutes? The mean time for a group of adults to complete a certain achievement test is 38.8 minutes and the standard deviation is 7 minutes. Assume the variable is normally distributed, find the probability that the mean of 50 randomly selected adults finished the test in less than 35 minutes? 6.19 x 10-5 0.2936 0.7064 0.9999The manufacturer of cans of salmon that are supposed to have a net weight of 6 ounces tells you that the net weight is actually a normal random variable with a mean of 5.95 ounces and a standard deviation of 0.14 ounce. Suppose that you draw a random sample of 32 cans. Find the probability that the mean weight of the sample is less than 5.9 ounces. Probability = xxxxxxxxxxxx
- A speed camera on Peterson Road records the speed of each passing vehicle. The speeds are found to be normally distributed with a mean of 67 km h and a standard deviation of 3.8 km h-1. A vehicle on Peterson Road is chosen at random. Find the probability that the speed of this vehicle is (i) more than 60 km h¯1; (ii) less than 70 km h-1;Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability of randomly selected adult has an IQ score less than 115.Calculate the expected value, the variance, and standard deviation where X is the number of tails that come up when a coin is tossed three times