Recall the following definitions from section 6.4 of the text. The area under the normal curve from x = a to x = b with given mean and standard deviation is the probability that x assumes a value between x = a and x = b. If we are using Table IV in Appendix C, we need to standardize the random variable x using the formula z = (x - P)/o, before using the table. Alternatively, you may use a graphing calculator to obtain more accurate calculations without standardizing the random variable x. For example, using a TI83 plus we calculate the area under the normal curve from x = a to x = b by using the normalcdf(a,b,H,0) where u is the mean and o is the standard deviation of the normal distribution. We use 1E99 for o and -1E99 for -o, if needed. Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of 35 seconds and a standard deviation of 1.5 seconds. What percentage of his times between pitches is longer than 37.10 seconds? v Chapter 06, Section 6.3, Intelligent Tutoring Problem 026 Z Your answer is partially correct. Try again. Given that the times between pitches are normally distributed with a mean of 35 seconds and (a) Standardize the data value x = 37.10. standard deviation of 1.5 seconds. 0.0807

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Recall the following definitions from section 6.4 of the text.
The area under the normal curve from x = a to x = b with given mean and standard deviation is the probability that x assumes a value between x = a and x = b. If we are using Table IV in Appendix C, we need to
standardize the random variable x using the formula z = (x - P)/o, before using the table.
Alternatively, you may use a graphing calculator to obtain more accurate calculations without standardizing the random variable x.
For example, using a TI83 plus we calculate the area under the normal curve from x = a to x = b by using the
normalcdf(a,b,H,0)
where u is the mean and o is the standard deviation of the normal distribution. We use 1E99 for o and -1E99 for -o, if needed.
Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of 35 seconds and a standard deviation of
1.5 seconds. What percentage of his times between pitches is longer than 37.10 seconds?
v Chapter 06, Section 6.3, Intelligent Tutoring Problem 026
Z Your answer is partially correct. Try again.
Given that the times between pitches are normally distributed with a mean of 35 seconds and
(a) Standardize the data value x = 37.10.
standard deviation of 1.5 seconds.
0.0807
Transcribed Image Text:Recall the following definitions from section 6.4 of the text. The area under the normal curve from x = a to x = b with given mean and standard deviation is the probability that x assumes a value between x = a and x = b. If we are using Table IV in Appendix C, we need to standardize the random variable x using the formula z = (x - P)/o, before using the table. Alternatively, you may use a graphing calculator to obtain more accurate calculations without standardizing the random variable x. For example, using a TI83 plus we calculate the area under the normal curve from x = a to x = b by using the normalcdf(a,b,H,0) where u is the mean and o is the standard deviation of the normal distribution. We use 1E99 for o and -1E99 for -o, if needed. Tommy Wait, a minor league baseball pitcher, is notorious for taking an excessive amount of time between pitches. His times between pitches are normally distributed with a mean of 35 seconds and a standard deviation of 1.5 seconds. What percentage of his times between pitches is longer than 37.10 seconds? v Chapter 06, Section 6.3, Intelligent Tutoring Problem 026 Z Your answer is partially correct. Try again. Given that the times between pitches are normally distributed with a mean of 35 seconds and (a) Standardize the data value x = 37.10. standard deviation of 1.5 seconds. 0.0807
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