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The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) | ? 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. 2. Tung oor or a decimal Do not round Y

The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) | ? 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. 2. Tung oor or a decimal Do not round Y

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.CR: Chapter 13 Review
Problem 10CR
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I need help with part c

The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) + 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) ²=0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μx and the variance σ of the mean X for random samples of 49 cherry puffs. H = 3.6 (Type an integer or a decimal. Do not round.) σ = 0.017 (Round to three decimal places as needed.) (c) Find the probability that the average number of cherries in 49 cherry puffs will be less than 3.9. The probability is (Round to four decimal places as needed.)
Transcribed Image Text:The random variable X, representing the number of cherries in a cherry puff, has the probability distribution shown. x P(X = x) + 2 0.1 3 4 5 0.4 0.3 0.2 Complete parts (a) through (c) below. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. (a) Find the mean μ and the variance o² of X. μ= 3.6 (Type an integer or a decimal. Do not round.) ²=0.84 (Type an integer or a decimal. Do not round.) (b) Find the mean μx and the variance σ of the mean X for random samples of 49 cherry puffs. H = 3.6 (Type an integer or a decimal. Do not round.) σ = 0.017 (Round to three decimal places as needed.) (c) Find the probability that the average number of cherries in 49 cherry puffs will be less than 3.9. The probability is (Round to four decimal places as needed.)
Areas under the Normal Curve -2.6 0.0047 0.0045 0.0044 0.0043 0.0041 0.0040 0.0039 0.0038 Z .00 .01 .02 .03 .04 .05 .06 .07 .08 .09 -3.4 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0003 0.0002 -3.4 -3.3 0.0005 0.0005 0.0005 0.0004 0.0004 0.0004 0.0004 0.0004 0.0004 0.0003 -3.3 -3.2 0.0007 0.0007 0.0006 0.0006 0.0006 0.0006 0.0006 0.0005 0.0005 -3.1 0.0010 0.0009 0.0009 0.0009 0.0008 0.0008 0.0008 0.0008 0.0007 -3.0 0.0013 0.0013 0.0013 0.0012 0.0012 0.0011 0.0011 0.0011 0.0010 -2.9 0.0019 0.0018 0.0018 0.0017 0.0016 0.0016 0.0015 0.0015 -2.8 0.0026 0.0025 0.0024 0.0023 0.0023 0.0022 0.0021 0.0021 -2.7 0.0035 0.0034 0.0033 0.0032 0.0031 0.0030 0.0029 0.0028 Areas under the Normal Curve z .03 .04 0.0 0.0005 -3.2 0.1 -2.5 0.0062 0.0060 0.0059 0.0057 -2.4 0.0082 0.0080 0.0078 0.0075 -2.3 0.0107 0.0104 0.0102 0.0099 -2.2 0.0139 0.0136 0.0132 0.0129 -2.1 0.0179 0.0174 0.0170 0.0166 -2.0 0.0228 0.0222 0.0217 0.0212 0.0162 0.0207 Z .00 .01 .02 0.0007 -3.1 0.0010 -3.0 0.0014 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