SAT scores in one state is normally distributed with a mean of 1496 and a standard deviation of 64. Suppose we randomly pick 43 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1503. P(X > 1503) = b) Find the probability that the average of the scores for the sample of 43 scores is greater than 1503. P(X > 1503) = %3D Round each answer to at least 4 decimal places.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Topic Video
Question
100%
SAT scores in one state is normally distributed with a mean of 1496 and a standard deviation of 64. Suppose
we randomly pick 43 SAT scores from that state.
a) Find the probability that one of the scores in the sample is greater than 1503.
P(X > 1503) =
b) Find the probability that the average of the scores for the sample of 43 scores is greater than 1503.
P(X > 1503) =
Round each answer to at least 4 decimal places.
Transcribed Image Text:SAT scores in one state is normally distributed with a mean of 1496 and a standard deviation of 64. Suppose we randomly pick 43 SAT scores from that state. a) Find the probability that one of the scores in the sample is greater than 1503. P(X > 1503) = b) Find the probability that the average of the scores for the sample of 43 scores is greater than 1503. P(X > 1503) = Round each answer to at least 4 decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON