Given X is a normally distributed random variable with a mean of 155 and a standard deviation of 11.6, determine a) P(X>170) b) P(152
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Given X is a
a) P(X>170) b) P(152<X<170)
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- pleaseee sir solve question 24If the random variable X is normal with mean 2 and standard deviation 2, then what is P(x2 - 4x < 1). 3The contents of a soda can holds an approximate and normally distributed mean of μ= 10 oz with standard deviation σ= 0.38 oz. A random sample of 26 cans is selected. Let x̅ be the sample mean of the contents. Find the probability that... a) x̅ exceeds 10.2 oz. b) x̅ is between 9.9 oz and 10.1 oz.
- Suppose an elevator has a maximum capacity of 16 passengers with a total weight of 2500lbs. Assume that weights of women are normally distributed with a mean of 168.4 lbs and a standard deviation of 29lbs A. Find the probability that 1 randomly selected woman has a weight greater than 156.25lbs b. Find the probability that the sample of 16 women have a mean weight greater than 156.25lbs (which puts the total weight at 2500lb, exceeding the maximum capacity)Assume that the weights of all packages of a certain brand of cookies are normally distrib- uted with a mean of 32 ounces and a standard deviation of .3 ounce. Find the probability that the mean weight, x, of a random sample of 20 packages of this brand of cookies will be be- tween 31.8 and 31.9 ounces.Assume the random variable X is normally distributed, with mean u= 57 and standard deviation o = 7, Find the 12th percentile. The 12th percentile is (Round to two decimal places as needed.)
- Suppose a large machine randomly prints words/minute for Book production. It is known that the printing machine follows a normal distribution with a mean of 132 words/minutes ounces and a standard deviation of 4 words/minute. Find the probability that the printing machine prints less than129 words/minute. a)0.3085 b)0.2266 c)0.4103 d)0.2874Executives of a supermarket chain are interested in the amount of time that customers spend in the stores during shopping trips. The executives hire a statistical consultant and ask her to determine the mean shopping time, u, of customers at the supermarkets. The consultant will collect a random sample of shopping times at the supermarkets and use the mean of these shopping times to estimate u. Assuming that the standard deviation of the population of shopping times at the supermarkets is 27 minutes, what is the minimum sample size she must collect in order for her to be 99% confident that her estimate is within 5 minutes of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) ?Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of O°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. If 1.7% of the thermometers are rejected because they have readings that are too high and another 1.7% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others. interval of acceptable thermometer readings = ɔ.
- Assume that the random variable X is normally distributed with mean = 1000 and standard deviation = 188. Let n = 18. Find P( < 947.4).The length, X, of a lionfish is a normally distributed random variable with a mean of 13.5 inches and a standard deviation of 2.4 inches. Suppose that we measure the lengths of 150 randomly chosen lionfish. Let M be the sample mean of the 150-length measurements. Let S be the sum of the 150 length measurements.a) What is the probability that X < 9.3? b) What is the probability that X > 9.3? c) What is the probability that all of the 150 measurements are greater than 9.3? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-150*13.5 >10? g) What is the standard deviation of S-150*13.5 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >13.6? k) What is the standard deviation of 30*M? l) If the probability of X > k is equal to .8, then what is k?Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 77 beats per minute. The probability is____
