apter b 1) Compute the mean and standard deviation of the random variable with the given discrete probability distribution. X -6 -2 0 4 P(x) 0.12 0.16 0.22 0.5 Round both final answers for mean and standard deviation to 2 digits after the decimal point

A random number generator picks a number from 6 to 65 in a uniform manner. Round answers to 4 decimal places when possible. The mean of this distribution is   . The standard deviation is   . The probability that the number will be exactly 48 is    P(x=48)=P(x=48)=   . The probability that the number will be between 17 and 22 is    P(17<x<22)=P(17<x<22)=   . The probability that the number will be larger than 50 is    P(x>50)=P(x>50)=   . P(x>24∣x<57)=P(x>24∣x<57)=   . Find the 21st percentile.   Find the minimum for the upper quarter.

X P(x) 0 0.15 1 1 0.25 2 0.2 3 0.4 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places Submit Question acer

Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 7 0.059 0.121 0.163 0.178 0.212 0.129 0.085 0.053 Probability The mean is (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.) The standard deviation is (Round to one decimal place as needed.) (b) Interpret the results. The mean is, so the average student is involved in typical number of activities per student (Round to one decimal place as needed.) 3 or 4 activities. no activities. at least 5 activities. The standard deviation is, so the ining: 00-55-29

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For a group of 20 students taking a PSDTF test, the mean heart rate was 96 beats per minute, and the standard deviation was 5. Find the 95% confidence interval of the true mean.

The probability distribution of a random variable X is given below. Given the mean Find the variance (Var(X)) and the standard deviation, respectively. O [955.00, 30.90] O [104.75, 10.23] O [50.13, 7.08] O [2330.85, 48.28] O [12.57, 3.55] X 1 2 3 4 10 P(X = x) 5/16 3/16 1/32/321/4 H=4.16