What is the probability a value selected at random from this distribution is greater than 39? (
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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
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Q: Solve for D)
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A: As per bartleby guideline expert have to answer first three subpart only dear student please upload…
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A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…
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A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any…
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- CNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N( c. What is the probability that one randomly selected auto insurance is less than $1015? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO NoOn average, indoor cats live to 13 years old with a standard deviation of 2.3 years. Suppose that the distribution is normal. Let X = the age at death of a randomly selected indoor cat. Round answers to 4 decimal places where possible. a. What is the distribution of X? X NO b. Find the probability that an indoor cat dies when it is between 10.2 and 11.8 years old. c. The middle 40% of indoor cats' age of death lies between what two numbers? Low: years High: yearsCustomers at a popular restaurant spend on average $32.30 per person. Assume that the amount spent follows approximately a normal distribution with a standard deviation of $5.25. What is the probability that a randomly selected customer will spend more than $40.00? • Below what cost do the 20% of customers paying the least spend?
- The patient recovery time from a particular surgical procedure is normally distributed with a mean of 4 days and a standard deviation of 2 days. Let X be the recovery time for a randomly selected patient. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the median recovery time? days c. What is the Z-score for a patient that took 5.1 days to recover? d. What is the probability of spending more than 3.4 days in recovery? e. What is the probability of spending between 3.2 and 4 days in recovery? f. The 70th percentile for recovery times is days. Submit QuestionGiven a normal distribution with mean of 14 & standard deviation of 2. What is the P (13 ≤ x ≤ 15)? Write every rule you are going to useThe average time to run the 5K fun run is 20 minutes and the standard deviation is 2.4 minutes. 41 runners are randomly selected to run the 5K fun run. Round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X- N( b. What is the distribution of a? - N( c. What is the distribution of æ? x - N( d. If one randomly selected runner is timed, find the probability that this runner's time will be between 19.5378 and 20.0378 minutes. e. For the 41 runners, find the probability that their average time is between 19.5378 and 20.0378 minutes. f. Find the probability that the randomly selected 41 person team will have a total time more than 795.4. g. For part e) and f), is the assumption of normal necessary? O No Yes h. The top 20% of all 41 person team relay races will compete in the championship round. These are the 20% lowest times. What is the longest total time that a relay team can have and still make it to the championship…
- CNNBC recently reported that the mean annual cost of auto insurance is 956 dollars. Assume the standard deviation is 280 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of T? T - N( c. What is the probability that one randomly selected auto insurance is more than $906? d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is more than $906. e. For part d), is the assumption of normal necessary? O YesO NoCNNBC recently reported that the mean annual cost of auto insurance is 968 dollars. Assume the standard deviation is 259 dollars, and the cost is normally distributed. You take a simple random sample of 36 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? X - N( b. What is the distribution of ? T - N( c. What is the probability that one randomly selected auto insurance is less than $1015? d. a simple random sample of 36 auto insurance policies, find the probability that the average cost is less than $1015. e. For part d), is the assumption of normal necessary? O YesO NoThis is for statistics
- Private nonprofit four-year colleges charge, on average, $26,168 per year in tuition and fees. The standard deviation is $6,656. Assume the distribution is normal. Let X be the cost for a randomly selected college. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. Find the probability that a randomly selected Private nonprofit four-year college will cost less than 24,347 per year. c. Find the 74th percentile for this distribution. $ (Round to the nearest dollar.)What is the probability that observations in a standard normal distribution will be: ?(−1.34 < ? < 2.72)Suppose that heights of 10-year-old boys in the US vary according to a normal distribution with mean of 138 cm and standard deviation of 7. What is the probability that the height of a randomly selected boy is greater than 145 cm?0.1357 0.1151 0.1841 0.1587
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