1. A manufacturer of scientific instruments produces thermometers that measure the freezing point of water (0 degrees Centigrade). Tests on a large sample have found that some readings are too low (negative values) and some are too high (positive values). If the frequency of a malfunctioning thermometer follows a standard normal distribution. Generate the normal distribution and the cumulative distribution for the thermometer reading in 0.01 degree Centigrade units, including 3 standard deviations on each side of the mean. Graph both of the distribution. Find each of the following probabilities. a) If a thermometer is picked at random, find the probability that, at the freezing level of water, the reading is between 0° and 1.58⁰. b) Find the probability that, at the freezing level of water, the reading is between 0° and -2.43°.
1. A manufacturer of scientific instruments produces thermometers that measure the freezing point of water (0 degrees Centigrade). Tests on a large sample have found that some readings are too low (negative values) and some are too high (positive values). If the frequency of a malfunctioning thermometer follows a standard normal distribution. Generate the normal distribution and the cumulative distribution for the thermometer reading in 0.01 degree Centigrade units, including 3 standard deviations on each side of the mean. Graph both of the distribution. Find each of the following probabilities. a) If a thermometer is picked at random, find the probability that, at the freezing level of water, the reading is between 0° and 1.58⁰. b) Find the probability that, at the freezing level of water, the reading is between 0° and -2.43°.
Follow the instructions in the given image and write all formulas to do the steps in the Excel..
Please only do the B part
Transcribed Image Text:1. A manufacturer of scientific instruments produces thermometers that measure the freezing
point of water (0 degrees Centigrade). Tests on a large sample have found that some readings
are too low (negative values) and some are too high (positive values). If the frequency of a
malfunctioning thermometer follows a standard normal distribution.
Generate the normal distribution and the cumulative distribution for the thermometer reading in
0.01 degree Centigrade units, including 3 standard deviations on each side of the mean. Graph
both of the distribution. Find each of the following probabilities.
a) If a thermometer is picked at random, find the probability that, at the freezing level of water,
the reading is between 0° and 1.58°.
b) Find the probability that, at the freezing level of water, the reading is between 0° and -2.43°.
c) Find the probability that, at the freezing level of water, the reading is between 1.20° and 2.30⁰.
d) Find the probability that, at the freezing level of water, the reading is greater than 1.27º.
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