Download presentation

Presentation is loading. Please wait.

Published byAriana Hansen Modified over 4 years ago

1
60, 70, 78, 88, 88, 88, 93, 96 ________ Med = ___________ Mode = _________ Range = _________ __________ Warm-up

2
7.4 Normal Distributions

4
Z - Scores

5
EXAMPLE 3 Use a z-score and the standard normal table Scientists conducted aerial surveys of a seal sanctuary and recorded the number x of seals they observed during each survey. The numbers of seals observed were normally distributed with a mean of 73 seals and a standard deviation of 14.1 seals. Find the probability that at most 50 seals were observed during a survey. Biology P(x < 50) = P(z < – 1.6) =

6
EXAMPLE 3 Use a z-score and the standard normal table Page 296

7
GUIDED PRACTICE for Example 3 8. WHAT IF? In Example 3, find the probability that at most 90 seals were observed during a survey. 0.8849 ANSWER

8
GUIDED PRACTICE for Example 3 9. REASONING: Explain why it makes sense that P(z < 0) = 0.5. A z- score of 0 indicates that the z- score and the mean are the same. Therefore, the area under the normal curve is divided into two equal parts with the mean and the z- score being equal to 0.5. ANSWER

9
Daily Homework Quiz For use after Lesson 11.3 0.025 ANSWER 1. A normal distribution has mean x and standard deviation. For a randomly selected x -value from the distribution, find P(x x – 2 ).

10
2. The average donation during a fund drive was $75. The donations were normally distributed with a standard deviation of $15. Use a standard normal table to find the probability that a donation is at least $115. ANSWER 0.35 % or 0.0035

Similar presentations

OK

Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.

Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google