Billy and Sam started with the same number of baseball cards in their collections. Billy collected 3 cards per week and now has
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The probability that the aircraft is overloaded is 97.98%, which means the pilot should take the action.
In a Normal distribution with mean ц and standard deviation σ, the z-score of a measure x is given by:
Z = X-ц / σ
· It measures how many standard deviations the measure is from the mean.
· After finding Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
· By the Central Limit Theorem, the sampling distribution of sample means of the size n has standard deviation σ
σ = σ /
σ is standard deviation
n is the sample size.
Given that the mean and the standard deviation of the population is 176.1 lb and 35.4 respectively.
⇒ ц = 176.1 and σ = 35.4
For a sample of 43 passengers, we have
n = 43
σ =
σ = 5.398
Z = X-ц / σ
Z =
Z = -2.05 has p- value of 0.9798
The probability that the aircraft is loaded is
1 - p-value of Z
1 - 0.0202 = 0.9798
The probability that the aircraft is overloaded is 97.98%
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The probability of getting into getting into graduated school if you receive a strong recommendation is
The probability of getting into getting into graduated school if you receive a moderately good recommendation is
The probability of getting into getting into graduated school if you receive a weak recommendation is
The probability of getting a strong recommendation is
The probability of receiving a moderately good recommendation is
The probability of receiving a weak recommendation is
Generally the probability that you will get into a graduate program is mathematically represented as
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Generally given that you did receive an offer to attend a graduate program, what is the probability that you received a strong recommendation is mathematically represented as
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Generally given that you didn't receive an offer to attend a graduate program the probability that you received a moderately good recommendation is mathematically represented as