With Mean 0, std 1 we get the Equation of the Probability Density Function of Normal Distribution as
Now for Any probability we integrate the Function to find the area under the curve which the required probability of the variable lying between the limits.
a) between 0, 2.4 :
Similarly
b)
c)
d)
e)
Please ask for any furhter Clarifications.
(1 point) Assume that the readings on the thermometers are normally distributed with a mean of...
(1 point) Assume that the readings on the thermometers are normally distributed with a mean of 0° and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees. (a) Between 0 and 1.9. (b) Between -2.54 and 0 (C) Between -0.98 and 0.06 (d) Less than -2.76 (e) Greater than -0.94:
(1 point) Assume that the readings on the thermometers are normally distributed with a mean of O and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees. (a) Between 0 and 0.41 (b) Between-2.01 and 0: (c) Between-1.11 and 1.98 (d) Less than 0.52 (o) Greater than 0.4
(1 point) Assume that the readings on thermometers in a room are normally distributed with mean and standard deviation 1.00'C. A thermometer is randomly selected and tested. Find the probability that the reading on the thermometer (in degrees Celsius) is (a) between 0 and 0.45 Answer: (b) between -2.59 and 0. Answer: (c) between -0.69 and 1.91. Answer: (d) less than 0.39 Answer: (e) greater than -2.07. Answer:
1. 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 less than 1.089°C. P(Z<1.089)=P(Z<1.089)= (Round answer to four decimal places.) 2. 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...
Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of O'C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -0.972°C. P(Z > - 0.972) = 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...
Assume that the readings on scietific thermometers are normally distributed with a mean of 0 0C and a standard deviation of 1 0C . A thermometer is randomly selected and tested. Find the probability of the reading less than -.25 in degrees Celsius. (up to four decimal place, please) Find the probability of the reading greater than .25 in degrees Celsius.
1. 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 less than -0.864°C. P(Z<−0.864)= 2. 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...
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 -1.397°C.
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 less than -2.651°C. P(Z<−2.651)= (Round to 4 decimal places)
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 0°C and 1.059°C. P(0 < < < 1.059)