Question

in a standard normal distribution, p(x>0.42)=
0.3372
0.2547
0.6354
0.6254
question 2 (1 point)
which of the following is a continuous random variable?
the number of students in math class.
the number of red dogs
the number of boys in a family
the volume of water in a glass.

Explanation:

Question 1

Step1: Recall standard normal distribution property

For a standard normal distribution \( Z \) (here \( X \) is standard normal), \( P(X > z)=1 - P(X \leq z) \). We use the z - table to find \( P(X \leq 0.42) \).
Looking up \( z = 0.42 \) in the standard normal table, we find that \( P(X \leq 0.42)=0.6628 \).

Step2: Calculate \( P(X > 0.42) \)

Using the formula \( P(X > 0.42)=1 - P(X \leq 0.42) \), we substitute the value of \( P(X \leq 0.42) \):
\( P(X > 0.42)=1 - 0.6628 = 0.3372 \)

A continuous random variable can take any value within a range (not just whole numbers). The number of students, red dogs, or boys are discrete (countable, whole numbers). The volume of water can take any value (e.g., 100.5 mL, 100.55 mL) within a range, so it's continuous.

Answer:

0.3372

Question 2