Suppose that random variable X follows a normal distribution with mean 20 and standard deviation 10. Let Y-10-2x. If P(ksY<30)-0.4, the value of k is closest to O -25 O -17 O -21 O-19 O -23

The normal random variable X has mean 4 and variance 1.22. Find the probability that: * * X < 2.5 X lies between 2.5 and 7

Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean u = 57.0 kg and standard deviation o = 7.9 kg. Suppose a doe that weighs less than 48 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2350 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 55 does should be more than 54 kg. If the average weight is less than 54 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average welght x for a random sample of 55 does is less than…

Let x be a random variable that represents hemoglobin count (HC) in grams per 100 milliliters of whole blood. Then x has a distribution that is approximately normal, with population mean of about 14 for healthy adult women. Suppose that a female patient has taken 10 laboratory blood tests during the past year. The HC data sent to the patient's doctor are as follows. 14 19 17 20 15 12 13 18 17 10   (a) Use a calculator with sample mean and standard deviation keys to find x and s. (Round your answers to two decimal places.) x= s= (b) Does this information indicate that the population average HC for this patient is higher than 14? Use ? = 0.01. (i) State the null hypotheses  H0  and the alternate hypothesis  H1 . H0 : μ  ---Select--- < = ≤ > ≠  ≥  H1 : μ  ---Select--- > = ≥  ≤ < ≠  (ii) What is the value of the sample test statistic? (Round your answer to three decimal places.)   (iii) Compute the P-value. (Round your answer to four decimal places.)…