Question

Using the Standard Normal Distribution. Assume that the
readings on scientific thermometers are normally distributed with a
mean of 0 °C and a standard deviation of 1.00 °C. A thermometer is
randomly selected and tested. In each case, draw a sketch, and find
the probability of each reading in degrees Celsius

A) Less than 2.75

B) Between 1.50 and 2.50

Answer #1

Assume that the readings on the thermometers are normally
distributed with a mean of 0 Celsius and a standard deviation of 0
1.00 Celsius. A thermometer is randomly selected and tested. In
each case, draw a sketch, and find the probability of each reading.
(The given values are in Celsius degrees.)
a. Less than −1.75 .
b. Greater than 1.685
c. Between 0.60 and 1.50
d. P( −1.82 < Z <1.82 )

Assume that the readings on the thermometers are normally
distributed with a mean of 0 Celsius and a standard deviation of
1.00 Celsius. A thermometer is randomly selected and tested. In
each case, draw a sketch, and find the probability of each reading.
(The given values are in Celsius degrees.)
A. Less than -1.24
B. Greater than 1.645
C. Between 0.59 and 1.51
D. P (Z <-2.575 or Z > 2.575)
Please show all work as if inputting into a...

Assume that thermometer readings are normally distributed with a
mean of 0degreesC and a standard deviation of 1.00degreesC. A
thermometer is randomly selected and tested. For the case below,
draw a sketch, and find the probability of the reading. (The
given values are in Celsius degrees.) Between 1.50 and 2.25

Assume that the readings at freezing on a batch of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. A single thermometer is randomly selected and
tested.
Find the probability of obtaining a reading between -2.75°C and
0°C. P ( − 2.75 < Z < 0 ) =

Standard Normal Distribution – In Exercises 9 – 13, assume that
thermometer readings are normally distributed with a mean of 0oC
and a standard deviation of 1.00oC. A thermometer is randomly
selected and tested, find the probability of each reading. (The
given values are in Celsius degrees.) If using technology instead
of Table A-2, round answers to four decimal places.
9. Less than 2.39
10. Greater than 1.35
11. Between 0.14 and 2.57
12. Between -2.33 and 1.33
13. Less...

Assume that the readings at freezing on a bundle of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. A single thermometer is randomly selected and
tested. Find the probability of obtaining a reading less than
-1.503°C.
P(Z<−1.503)=P(Z<-1.503)=

Assume that the readings at freezing on a batch of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. A single thermometer is randomly selected and
tested. Find P99, the 99-percentile. This is
the temperature reading separating the bottom 99% from the top
1%.

Assume that the readings at freezing on a bundle of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. A single thermometer is randomly selected and
tested. Find the probability of obtaining a reading between
-1.404°C and 2.955°C.
P(−1.404<Z<2.955)=

Assume that the readings at freezing on a bundle of thermometers
are normally distributed with a mean of 0°C and a standard
deviation of 1.00°C. A single thermometer is randomly selected and
tested. Find the probability of obtaining a reading between 0.244°C
and 0.251°C.
P(0.244<Z<0.251)

Assume that the readings at freezing on a batch of
thermometers are normally distributed with a mean of 0°C and a
standard deviation of 1.00°C. A single thermometer is randomly
selected and tested. Find the probability of obtaining a reading
between -2.95°C and 0.11°C.
Give your answer to 4 decimal places.

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