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1. If it is appropriate to do so, use the normal approximation to the p^p^-distribution to calculate the indicated probability: n=80, p=0.715, P(p>0.75)? 2. In

1. If it is appropriate to do so, use the normal approximation to the p^p^-distribution to calculate the indicated probability: n=80, p=0.715, P(p>0.75)?

2. In a growing industry, the mean number of hours of productivity lost by employees per week due to online social media engagement is 9 hours, with a standard deviation of 2.3 hours. a. What is the probability that an employee will lose more than 11 hours of productivity due to online social media engagement?

P(X>11) = ?

b. What is the probability that 9 employees will lose more than 10 hours of productivity due to online social media engagement? P

(X>10)= ?

3. A study finds that approximately 1 out of every 10 Canadians do not take their prescription medication because they cannot afford the cost (known as cost-related nonadherence). A sample of 60 patients who have ongoing prescription medications is collected. a. What is the probability that none of them will experience cost-related nonadherence?

P(None) = ?

b. What is the probability that between 12% and 15% will experience cost-related nonadherence?

P(0.12

c. What is the probability that more than 20% of them will experience cost-related nonadherence?

P(p>0.20) = ?

d. Within what range of values will the proportion of those 60 patients who experience cost-related nonadherence be 95% likely to fall?

? < p < ?

4. The amount of time travellers at an airport spend with customs officers has a mean of =33 seconds and a standard deviation of =13seconds. For a random sample of 50 travellers, what is the probability that their mean time spent with customs officers will be:

a. Over 30 seconds?

b. Under 35 seconds?

c. Under 30 seconds or over 35 seconds?

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