At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
2 answers:
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Answer:
a) The mean is 7 ounces and the standard deviation is of 0.29 ounces.
b) 50% probability that x is at least 7 ounces.
c) 75% probability that x is between 6.5 and 7.25 ounces.
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X at least x is given by the following formula.
The probability that we find a value X between c and d is given by the following formula.
The mean of the uniform distribution is:
The standard deviation of the uniform distribution is:
Anywhere between 6.5 and 7.5 ounces.
This means that
(a) Find the mean and standard deviation of x.
Mean
Standard deviation
The mean is 7 ounces and the standard deviation is of 0.29 ounces.
(b) Find the probability that x is at least 7 ounces.
50% probability that x is at least 7 ounces.
(c) Find the probability that x is between 6.5 and 7.25 ounces.
75% probability that x is between 6.5 and 7.25 ounces.