Which expression is equivalent to the given expression?
1 answer:
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Answer:
P(X > 25) = 0.69
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.
This means that
Find P(X>25)
This is 1 subtracted by the pvalue of Z when X = 25. So
has a pvalue of 0.31
1 - 0.31 = 0.69.
So
P(X > 25) = 0.69
Answer:
Teresa drive <u>90 miles</u> on Tuesday.
Step-by-step explanation:
Given:
Teresa drove on Monday, Tuesday and Wednesday.
On monday her driving distance was 120 miles.
The ratio of Wednesdays distance is 3/5.
The ratio of Wednesdays distance to Tuesday's distance is 5/4.
Now, to find the miles Teresa drive on Tuesday:
Teresa driving distance on Monday was = 120 miles.
Her driving distance on Wednesday is =
Now, her driving distance on Tuesday is:
Therefore, Teresa drive 90 miles on Tuesday.