Question

The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normally distributed with a mean of 1252 chips and standard deviation 129 chips. ​(a) What is the probability that a randomly selected bag contains between 1100 and 1500 chocolate​ chips, inclusive? ​(b) What is the probability that a randomly selected bag contains fewer than 1025 chocolate​ chips? ​(c) What proportion of bags contains more than 1200 chocolate​ chips? ​(d) What is the percentile rank of a bag that contains 1425 chocolate​ chips? ​(a) The probability that a randomly selected bag contains between 1100 and 1500 chocolate​ chips, inclusive, is ______?

Answer 1

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solution Given M=1252 G 129 a Plnoo xxxgood. p/ 1100-1252 xall, 1500-12521 P(-1.18 <Z4 1.92) (z= x-ll) = P(Z <1-92)-P(Z <-1.18) -0.972571 -0.1190001 from tube) 20.8535709 PC1100 XZ 1560) -0.8536 b) PCX< 1025) - P(x, 109529253 P(Z < -1.76) == xl) 0.0392039 ( Fixom table, R 0.0392 c) PX> 1200) = 1- P(x2u - 1200-1252) -1- P(Z <-0.40) (E = xull) 21-0.3445783 (soom table) = 0 6554917 ~0.6554 2) X-1425 using zo score foormula - Xu - 1425-1252 129 Z-1.34 P(Z<1-34) - 0.9098773 0.9099 The percentage is -90.99%

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