Questions: Score: 11/19 Answered: 11/19 Question 12 Find the area of the shaded region under the standard normal distribution to the right of the given z-score. Round your answer to four decimal places. P(z>-1.19)=

Score: 11/19
Answered: 11/19

Question 12

Find the area of the shaded region under the standard normal distribution to the right of the given z-score.
Round your answer to four decimal places.
P(z>-1.19)=

Transcript text: Score: 11/19 Answered: 11/19 Question 12 Find the area of the shaded region under the standard normal distribution to the right of the given $z$-score. Round your answer to four decimal places. $P(z>-1.19)=$ $\square$ Question Help: Post to forum Submit Question

Solution

Solution Steps

Step 1: Identify the given z-score

The given z-score is -1.19. We want to find the area to the right of this z-score.

Step 2: Use the standard normal distribution table or calculator

Using a standard normal distribution table or calculator, we look up the probability corresponding to z = -1.19. This value is P(z ≤ -1.19). Many calculators and tables will directly calculate P(z > -1.19).

Step 3: Calculate P(z > -1.19) using the complement rule

Since the total area under the curve is 1, the area to the right of -1.19 is 1 - P(z ≤ -1.19). From a z-table, we find that P(z ≤ -1.19) ≈ 0.1170.

Thus, P(z > -1.19) = 1 - 0.1170 = 0.8830