A fair coin is tossed 3 times. Let the random variable X denote the total number of heads that appear squared plus 2. For example X(HHT) = 22 + 2 = 6. Find E(X).

Previously, 4​% of mothers smoked more than 21 cigarettes during their pregnancy. An obstetrician believes that the percentage of mothers who smoke 21 cigarettes or more is less than 4​% today. She randomly selects 115 pregnant mothers and finds that 3 of them smoked 21 or more cigarettes during pregnancy. Test the​ researcher's statement at the α=0.1 level of significance. find p value

The table below contains pulse rates after running for 1 minute, collected from a sample of females who drink alcohol. The mean pulse rate after running for 1 minute of females who do not drink is 97 beats per minute. Do the data show that the mean pulse rate of females who do drink alcohol is higher than the mean pulse rate of females who do not drink? Test at the 9% level. pulse rate after running one minute in bpm 80 139 71 100 75 86 128 78 99 72 80 145 106 82 83 185 92 5 151 107 129 62 72 64 44 106 71 122 124 58 102 128 132 110

The maximum patent life for a drug is 17 years. Subtracting the length of time required by the FDA for testing and approval of the drug provides the actual patent life for the drug that is, the length of time that the company has to recover research and development costs and to make a profit. The distribution of the lengths of actual patent lives for new drugs is given below, where Y is a random variable representing actual patent life of a drug (in years): y P(Y=y) F(y) 4 5 6 7 8 9 10 11 0.06 0.08 0.11 0.15 0.22 0.18 0.12 0.08 a) Complete the table above with the cumulative probability distribution for actual patent life (F(y) = P(Y ≤ y)). b) What is the probability that the actual patent life of a random drug is 6 years or less? c) What is the probability that the actual patent life of a random drug is more than 8 years? Show this in two ways: i. using the probability distribution for Y ii. using the cumulative probability distribution for Y, and applying our probability of comple-…

For any population, a z-score of -2.00 is a more extreme score than a z-score of +1.00. TRUE OR FALSE

Three components are randomly sampled, one at a time, from a large lot. As each component is selected, it is tested. If it passes the test, a success (S) occurs; if it fails the test, a failure (F) occurs. Assume that 82.0% of the components in the lot will succeed in passing the test. Let X represent the number of successes among the three sampled components. Find P(X= 3). (Round the final answer to three decimal places.)

Answer number 4

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99.744 1+3.014e-0.799t represents the percentage of companies using Microsoft Word t years since 1984. What percentage of companies used 22) The logistical model P(t) Microsoft Word in 1995?

The probability of flu symptoms for a person not receiving any treatment is 0.051. In a clinical trial of a common drug used to lower cholesterol, 56 of 1041 people treated experienced flu symptoms. Assuming the drug has no effect on the likelihood of flu symptoms, estimate the probability that at least 56 people experience flu symptoms. What do these results suggest about flu symptoms as an adverse reaction to the drug? (a) P(X 256)= (Round to four decimal places as needed.) n example 6 Get more help. M C Oll 2000 16 & 7 O * 8 Clear all ( 9 Check answer 0