As in the previous problem, a fair coin is flipped 76 times. If X is the number of heads, then the distribution of X can be approximated with a normal distribution, N(38, 4.4), where the mean (u) is 38 and standard deviation (6) is 4.4. Using this approximation, find the probability of flipping 42, 43, or 44 heads. You may use the portion of the Standard Normal Table below.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
As in the previous problem, a fair coin is flipped 76 times. If X is the number of heads, then the distribution of X can be
approximated with a normal distribution, N(38, 4.4), where the mean (u) is 38 and standard deviation (o) is 4.4.
Using this approximation, find the probability of flipping 42, 43, or 44 heads. You may use the portion of the Standard
Normal Table below.
325
F2
• Round the final answer to two decimal places.
Z
0.01
0.02
0.03
0.04
0.05
0.06
0.09
0.07 0.08
0.7794, 0.7823
0.7852
0.00
0.7 0.7580 0.7611 0.7642
0.7642 0.7673 0.7704 0.7734 0.7764
0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133
0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389
1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621
1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830
1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015
1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177
1.4 0.9192 0.9207 0.9222
0.9251 0.9265 0.9279 0.9292 0.9306 0.9319
1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441
0.9236
Provide your answer below:
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Transcribed Image Text:N Question As in the previous problem, a fair coin is flipped 76 times. If X is the number of heads, then the distribution of X can be approximated with a normal distribution, N(38, 4.4), where the mean (u) is 38 and standard deviation (o) is 4.4. Using this approximation, find the probability of flipping 42, 43, or 44 heads. You may use the portion of the Standard Normal Table below. 325 F2 • Round the final answer to two decimal places. Z 0.01 0.02 0.03 0.04 0.05 0.06 0.09 0.07 0.08 0.7794, 0.7823 0.7852 0.00 0.7 0.7580 0.7611 0.7642 0.7642 0.7673 0.7704 0.7734 0.7764 0.8 0.7881 0.7910 0.7939 0.7967 0.7995 0.8023 0.8051 0.8078 0.8106 0.8133 0.9 0.8159 0.8186 0.8212 0.8238 0.8264 0.8289 0.8315 0.8340 0.8365 0.8389 1.0 0.8413 0.8438 0.8461 0.8485 0.8508 0.8531 0.8554 0.8577 0.8599 0.8621 1.1 0.8643 0.8665 0.8686 0.8708 0.8729 0.8749 0.8770 0.8790 0.8810 0.8830 1.2 0.8849 0.8869 0.8888 0.8907 0.8925 0.8944 0.8962 0.8980 0.8997 0.9015 1.3 0.9032 0.9049 0.9066 0.9082 0.9099 0.9115 0.9131 0.9147 0.9162 0.9177 1.4 0.9192 0.9207 0.9222 0.9251 0.9265 0.9279 0.9292 0.9306 0.9319 1.5 0.9332 0.9345 0.9357 0.9370 0.9382 0.9394 0.9406 0.9418 0.9429 0.9441 0.9236 Provide your answer below: # 3 LU E PARENTAL ADVISORY EXPLICIT CONTENT F3 OCT 14 80 $ 4 R F4 % 5 F5 T < 6 F6 Y 2 & 7 tv B F7 U * 8 2 DII F8 ( 1 ( 9 8 F9 all A 0 F10 0 a ๆ O F11
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