A customer service center receives an average of 50 complaints per day, with a standard deviation of 12. Based on this information, and for a randomly selected day, answer the following questions. Round all probabilities to 3 decimal places: What is the probability of receiving less than 35 complaints? What is the probability of receiving more than 78 complaints? Would it be unusual to receive more than 78 complaints? (yes or no) What is the probability of receiving between 35 and 65 complaints?

The number of calls received by a towing service follows a Poisson distribution, with an average of 15.9 calls per day (24 hour period). Find the probability that in any randomly selected hour the number of calls is exactly 1. (hint: start by finding the average calls per hour). Note: enter your answer in decimal form and round to 3 decimal places.

Assume that a researcher randomly selects 14 newborn seal pups and counts the number of males selected (x). The probabilities corresponding to the 14 possible values of x are summarized in the table below. Create your own probability table (since this table shows only rounded probabilities), and use your more precise table to find the probability of less than 7 male pups. In addition, what is the probability of the complement of less than 7 male pups? Note: enter your answers in decimal form and round to 3 decimal places. Probabilities of male seal pups x(males) P(x) x(males) P(x) x(males) P(x) 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000  

You are planning to go on a whale watching tour during your Hawaii vacation. In doing some research, you find that the number of whales seen on the tour follows a Poisson distribution with a mean of 3.6 whales. Based on this information, find the probability that you will see at least 4 whales on your tour. Hint: it might be faster and more accurate to find the complement and subtract from 1. However you do it, be sure your answer is accurate to 3 decimal places. Probability = Note: answer in decimal form and round to 3 decimal places.

A customer service center receives an average of 50 complaints per day, with a standard deviation of 12. Based on this information, and for a randomly selected day, answer the following questions. Round all probabilities to 3 decimal places: What is the probability of receiving less than 20 complaints? What is the probability of receiving more than 60 complaints? Would it be unusual to receive more than 60 complaints? (yes or no) What is the probability of receiving between 45 and 55 complaints?

Assume that a researcher randomly selects 14 newborn seal pups and counts the number of males selected (x). The probabilities corresponding to the 14 possible values of x are summarized in the table below. Create your own probability table (since this table shows only rounded probabilities), and use your more precise table to find the probability of more than 9 male pups. In addition, what is the probability of the complement of more than 9 male pups? Note: enter your answers in decimal form and round to 3 decimal places. Probabilities of male seal pups x(males) P(x) x(males) P(x) x(males) P(x) 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000  

Identify the following variable as being either continuous or discrete. The average time students in STAT2040 spend studying for Exam 3.

In a student club with 10 members, they want to form a committee consisting of 3 members. How many possible committee combinations are possible? (note: Since each committee member has the same role, the sequence or order does not matter, and so this is a combination problem.)

Assume that a researcher randomly selects 14 newborn seal pups and counts the number of males selected (x). The probabilities corresponding to the 14 possible values of x are summarized in the table below. Create your own probability table (since this table shows only rounded probabilities), and use your more precise table to find the probability of 9 or more male pups. In addition, what is the probability of the complement of 9 or more male pups? Note: enter your answers in decimal form and round to 3 decimal places. Probabilities of male seal pups x(males) P(x) x(males) P(x) x(males) P(x) 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000  

If z is a standard normal variable (normally distributed), find the probability that z is greater than -0.85. Probability = Note: answer in decimal form and round to 3 decimal places.