If z is a standard normal variable (normally distributed), find the probability that z is less than -0.45. Probability = [probability] Note: answer in decimal form and round to 3 decimal places.

At a Covid testing center, data shows that 15.6% of people getting tested have the virus (i.e., test is positive). Based on this data, what is the probability that they next 3 people tested will all be positive? (note: provide your answer in decimal form, rounded to 3 decimal places)

Which of the following cannot be a probability? 100%, 1.01, 0.50, 0.99999, 0 [xprob]

Assume that a researcher randomly selects 8 newborn seal pups and counts the number of females selected (x). The probabilities corresponding to the 8 possible values of x are summarized in the table below. Using this information, find the probability that exactly 5 of the seal pups are female. [probability] In addition, what is the probability of the complement of exactly 5 female seal pups? [complement] Note: enter your answers in decimal form and round to 3 decimal places. Probabilities of female seal pups x(female) P(x) x(female) P(x) x(female) P(x) 0 0.004 3 0.219 6 0.109 1 0.031 4 0.273 7 0.031 2 0.109 5 0.219 8 0.004

In Washington County, Utah, the conviction rate for speeding is 95%. Estimate the probability that of the next 100 speeding summonses issued, there will be at least 95 convictions. Hint: assume the distribution is binomial Probability of at least 95 convictions = [convictions] Note: answer in decimal form and round to 3 decimal places.

At a Covid testing center, data shows that 13.5% of people getting tested have the virus (i.e., test is positive). Based on this data, what is the probability that they next 2 people tested will both be positive? (note: provide your answer in decimal form, rounded to 3 decimal places)

Given the following data, answer the following questions. Hint: Start by putting the data in a Contingency Table. In a study of smokers and non-smokers, the following data was obtained. Among 100 randomly selected 18-22 yr olds, 30 smoke and 70 do not. Among 110 randomly selected 23-30 yr olds, 25 smoke and 85 do not, and among 120 31-40 yr olds, 20 smoke and 100 do not. What is the probability of randomly picking someone from the study who is 31-40 yrs old and smokes? [31andsmoke] What is the probability of randomly picking someone from the study who is 18-22 yrs old or is a non-smoker? [18orNS] What is the probability of randomly picking someone from the study who smokes, given they are 23-30 yrs old? [Sgiven23] note: answer in decimal form and round to 3 decimal places

Assume that a researcher randomly selects 8 newborn seal pups and counts the number of females selected (x). The probabilities corresponding to the 8 possible values of x are summarized in the table below. Using this information, find the probability that exactly 4 of the seal pups are female. [probability] In addition, what is the probability of the complement of exactly 4 female seal pups? [complement] Note: enter your answers in decimal form and round to 3 decimal places. Probabilities of female seal pups x(female) P(x) x(female) P(x) x(female) P(x) 0 0.004 3 0.219 6 0.109 1 0.031 4 0.273 7 0.031 2 0.109 5 0.219 8 0.004

The number of calls received by a towing service follows a Poisson distribution, with an average of 18.7 calls per day (24 hour period). Find the probability that in any randomly selected hour the number of calls is exactly 2. (hint: start by finding the average calls per hour). Note: enter your answer in decimal form and round to 3 decimal places.

Focus groups of 12 people are randomly selected to discuss the Dixie name. It is determined that the mean number (per group) who think the name should be changed is 5.8, with a standard deviation of 1.22. Would it be unusual in one of these groups to find that 3 people think the name should be changed?