The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced: 1. 2 4 P(X)0.342 0.320.2010.079 0.058 Find the following probabilities. Do not round your answers. A. An echinacea user.has more than one infection per year B. An echinacea user has no infections per year 0.057 C. An echinacea user has between one and three (inclusive) infections per year

Many fire stations handle emergency calls for medical assistance as well as calls requesting firefighting equipment. A particular station says that the probability that an incoming call is for medical assistance is 0.84. This can be expressed as P(call is for medical assistance) = 0.84. (a) Give a relative frequency interpretation of the given probability. O Eighty-four percent of all calls to the station are for medical assistance. O None of the calls to the station are for medical assistance. O Sixteen percent of all calls to the station are for medical assistance. O All calls to the station are for medical assistance. O Fifty percent of all calls to the station are for medical assistance. (b) What is the probability that a call is not for medical assistance?

Based on information from MRI Network, some job applicants are required to have several interviews before a decision is made. The number of required interviews and the corresponding probabilities are: 1 (0.09); 2 (0.31); 3 (0.37); 4 (0.12); 5 (0.05); and 6 (0.05). Questions: 1. Create a table showing the probability distribution shown in the problem. 2. Create a probability histogram from the given problem.

For a certain antidepressant, about 80% of patients experience some sort of side effect. A researcher takes a random sample of 23 patients and surveys whether they have experienced any side effects. Use the binomial distribution to compute the probability that exactly 16 of the patients in the sample have experienced at least one side effect. Identify the following information required to find the probability of patients who have experienced side effects. Provide your answer below: n = X = p= trials successes probability of side effects

A concern for many adults is that computers and the Internet are reducing privacy. A survey conducted by Peter D. Hart Research Associates for the Shell Poll was reported in the USA Today. According to the survey, 37% of adults are concerned that employers are monitoring phone calls. Use the binomial distribution formula to calculate the probability that out of five adults, exactly three are concerned that employers are monitoring their phone calls. Select one: O a. 1.85 Ob. 0.799 Oc. 0.201 d. 3.15

A diagnostic test for disease X correctly identifies the disease 90% of the time. False positives occur 8%. It is estimated that 5.41% of the population suffers from disease X. Suppose the test is applied to a random individual from the population. Compute the following probabilities. (It may help to draw a probability tree.) The percentage chance that the test will be positive =   The probability that, given a positive result, the person has disease X =

Assume that a sample is used to estimate a population proportion p. Find the 99.5% confidence interval for a sample of size 88 with 16 successes. Enter your answer as an open-interval (i.e., parentheses) using decimals (not percents) accurate to three decimal places.

The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced: 3 4 1 2 P(X) 0.342 0.323 0.203 0.074 0.058 Find the following probabilities: A. An echinacea user has more than one infection per year B. An echinacea user has no infection per year C. An echinacea user has between one and three (inclusive) infections per year

The natural remedy echinacea is reputed to boost the immune system, which will reduce flu and colds. A 6-month study was undertaken to determine whether the remedy works. From this study, the following probability distribution of the number of respiratory infections per year (X) for echinacea users was produced: 3 4 P(X) 0.339 0.327 0.203 0.072 0.059 Find the following probabilities: A. An echinacea user has more than one infection per year B. An echinacea user has no infections per year C. An echinacea user has between one and three (inclusive) infections per year

Use the given probability value to determine whether the sample results could easily occur by​ chance, then form a conclusion.   A study of the effect of seatbelt use in​ head-on passenger car collisions found that drivers using a seatbelt had a​ 64.1% survival​ rate, while drivers not using a seatbelt had a​ 41.5% survival rate. If seatbelts have no effect on survival​ rate, there is less than a 0.0001 chance of getting these results. What do you​ conclude? The probability shows that the sample results ▼   could could not have easily occurred by chance. It appears that there ▼   is is not sufficient evidence to conclude that seatbelts do have an effect on survival rate.