According to a study, the probability that a randomly selected teenager studied at least once during the week was only 0.52. let x be the number of teenagers who studied at least once during the week. what is the probability that at least 5 of the students in your study group of 10 have studied in the last week?

Step-by-step explanation:

1) Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

2) Solution to the problem  

Let X the random variable of interest, on this case we now that:  

The probability mass function for the Binomial distribution is given as:  

Where (nCx) means combinatory and it's given by this formula:  

What is the probability that at least 5 of the students in your study group of 10 have studied in the last week?

1. d.90

2. e. none of these (80)

3. a. 0

4. b. 6

5. e. none of these (10)

6. a. 5