1. Suppose in a particular college, 60% of the student population is female.(a) Calculate the probability that a class of 10 students will have exactly four females.(b) Calculate the probability that a class of 10 students will contain five, six, or sevenfemales.(c) Calculate the probability that at least five students in a class of 10 will be female.2. Suppose the Road Transport and Safety Agency (RTSA) officers have mounted a check point and they observe the speed at which the cars pass through that check point. Assume the speeds are normally distributed such that μ = 61 km per hour and σ = 4 km per hour.(a) Calculate the probability that the next car that passes through the checkpoint will be travelling slower than 65 km per hour.(b) Calculate the probability that the next car passing will be travelling more than 66 km per hour.3. Suppose a certain study conducted in 2000 reported 71.3% of men between the ages of 45 and 54 are considered overweight. If a random sample of 150 men in this age group is selected, what is the probability that between 66% and 75% of them are overweight?4. The data set below shows the amount of trash generated by ten households (in pounds per day). Assume that the population is normally distributed.3.9 4.6 15.6 10.5 16.0 6.7 12.0 9.2 13.8 16.8(a) Construct a 95% confidence interval for the mean based on the sample. (b) Construct a 90% confidence interval for the mean.(c) Construct an 80% confidence interval for the mean. 1. Suppose in a particular college, 60% of the student population is female.(a) Calculate the probability that a class of 10 students will have exactly four females.(b) Calculate the probability that a class of 10 students will contain five, six, or sevenfemales.(c) Calculate the probability that at least five students in a class of 10 will be female.2. Suppose the Road Transport and Safety Agency (RTSA) officers have mounted a checkpoint and they observe the speed at which the cars pass through that check point.Assume the speeds are normally distributed such that u = 61 km per hour and o = 4km per hour.(a) Calculate the probability that the next car that passes through the checkpoint willbe travelling slower than 65 km per hour.(b) Calculate the probability that the next car passing will be travelling more than 66km per hour.3. Suppose a certain study conducted in 2000 reported 71.3% of men between the ages of45 and 54 are considered overweight. If a random sample of 150 men in this age groupis selected, what is the probability that between 66% and 75% of them are overweight?4. The data set below shows the amount of trash generated by ten households (in poundsper day). Assume that the population is normally distributed.3.94.615.610.516.0 6.712.09.2 13.816.8(a) Construct a 95% confidence interval for the mean based on the sample.(b) Construct a 90% confidence interval for the mean.(c) Construct an 80% confidence interval for the mean.

Name: 1. Suppose in a particular college, 60% of the student population is f
Uploaded: 2024-03-20T07:06:41.000Z
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Description: 1. Suppose in a particular college, 60% of the student population is female.(a) Calculate the probability that a class of 10 students will have exactly four females.(b) Calculate the probability that a class of 10 students will contain five, six, or

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