On average, the number of students that choose to study Arts related subjects at lowa University is 50 each year. What is the probability that exactly 42 students will study Arts in the coming year?

A common lab test during a medical exam is a blood count. The two main aspects are counting the number of white blood cells and differentiating white blood cells into several categories. One of the categories is neutrophils. Suppose 60% of white blood cells are neutrophils in a healthy person. What is the probability of seeing 2 neutrophils in a sample of three white blood cells from a healthy person? What is the probability of seeing 2 or fewer?​

The​ (hypothetical) table below shows the relationship between the number of hours students work at​ part-time jobs each week and the number of years it takes then to graduate with an undergraduate degree. If a student works more than 5 hours per​ week, what is the probability that the student graduates in over 6​ years?

According to the Turkish Ministry of Health, the probability of a woman developing breast cancer over a lifetime period is 1/5. What is the probability that 3 women out of 15 will develop breast cancer over a lifetime?

On the first day of music class, students submitted a survey. One survey question asked students to report which music genre they prefer. Another question asked students how frequently they sing in the shower. The probability that a student prefers metal is 0.7, the probability that a student sings in the shower 1-2 times a week is 0.4 and the probability that a student prefers metal and sings in the shower 1-2 times a week is 0.3. What is the probability that a randomly chosen student prefers metal or sings in the shower 1-2 times a week?

If two people are chosen with replacement from the data, what is the probability that both are wearing athletic shoes and the second is a woman wearing dress shoes?

Aaron Rodgers of the Green Bay Packers, three-time NFL MVP, completes 65% of his pass attempts. If the trials are independent, what is the probability that he will complete at least 9 of his next 10 passes?

If a seed is planted, it has a 95% chance of growing into a healthy plant. If 9 seeds are planted, what is the probability that exactly 2 don't grow?

If you roll a dice once, what’s the probability that it will show an even number? An odd number?

If the probability that the Islanders will beat the Rangers in a game is 81%, what is the probability that the Islanders will win at least three out of five games in a series against the Rangers? Round your answer to the nearest thousandth.