Question

Taylor surveys students in one grade level who own at least one pet. She finds that 50% of the students surveyed own 2 pets, 3 students own 3 pets each, and 2 students own 4 pets each. Eight of the students in the grade own 1 pet. Considering the number of pets as the random variable, X, which of the following is the probability distribution, PX(x)?

Answer 1

The probability distribution function, PX(x), represents the probability of each possible value of a random variable, X. In this case, the random variable X represents the number of pets owned by students in one grade level.

Step-by-step explanation:

The probability distribution function, PX(x), represents the probability of each possible value of a random variable, X. In this case, the random variable X represents the number of pets owned by students in one grade level.

To find the probability distribution, we need to calculate the probabilities for each possible value of X:

• P(X=1) = 8/60 = 0.133
• P(X=2) = 30/60 = 0.5
• P(X=3) = 3/60 = 0.05
• P(X=4) = 2/60 = 0.033

Therefore, the probability distribution PX(x) for the number of pets owned by students is:

• PX(1) = 0.133
• PX(2) = 0.5
• PX(3) = 0.05
• PX(4) = 0.033

Answer 2

Its A

Step-by-step explanation: