Suppose a coin and a die are tossed. Let X be the random variable representing an even number. Construct a probability distribution for random variable X.

The probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.10. Each student does homework independently. In a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?

A jar contains 16 coins: 8 pennies, 5 nickels and 3 dimes. A child selects 2 coins at random without replacement from the jar.  Let XX be the sum of the value of the 2 coins.  Determine the probability distribution of XX.  Please enter the values for xx  in increasing order.  Please enter the values for p(x)p(x) as a number rounded to four decimal places.

A tube of listerine tartar control toothpaste 4.2 ounces. As people use the toothpaste the amount remaining in any tube is random. Assume the amount of toothpaste remaining in the tube follows a uniform distribution. What is the probability that there is more than 1.5 ounces remaining in the tube?

Assume each newborn baby has a probability of approximately 0.49 of being female and 0.51 of being male. For a family with four children, let X = number of children who are girls. Identify p for the binomial distribution.

Benford's law, also known as the first-digit law, represents a probability distribution of the leading significant digits of numerical values in a data set. A leading significant digit is the first occurring non-zero integer in a number. For example, the leading significant digit in the number 127 is 1. Let this leading significant digit be denoted x. Benford's law notes that the frequencies of x in many datasets are approximated by the probability distribution shown in the table. 1 3 4 5 7 8 9. P(x) 0.301 | 0.176 | 0.125 | 0.097 0.079 | 0.067 0.058 0.051 | 0.046 Determine E(X), the expected value of the leading significant digit of a randomly selected data value in a dataset that behaves according to Benford's law? Please give your answer to the nearest three decimal places.

Assume that when silts with smartphones are randomly selected 37% use them in meetings or class. IF 6 adult smartphone users are randomly selected, find the probability that exactly 4 of them use their smartphones in meetings or classes.

It is found that 35% of students from a local college plays for a sports team and 25% of students watches ESPN daily. Of those students who plays sports for a team, 55% of them watch ESPN daily. Find the probability(in percent) that a randomly chosen person from this college:  watches ESPN daily and plays for a sports team.     plays for a sports team given that they watch ESPN daily

Assume that when adults with smartphones are randomly​ selected, 43% use them in meetings or classes. If 14 adult smartphone users are randomly​ selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes. The probability is?

In statistics test, students finish the test in between 80 minutes, at earliest, and 120 minutes, at latest. What is the probability that the next student will finish the test between 85 and 95 minutes. Assume a uniform distribution..