Due to the higher z-score, the correct option regarding the highest relative score is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
<h3>What is the z-score formula?</h3>The z-score of a measure X of a normally distributed variable with mean and standard deviation
is given by:
The z-score measures how many standard deviations the measure is above or below the mean, hence the higher the z-score, the higher the score X is relative to other scores.
The respective z-scores for this problem are given by:
Hence the correct option is:
A score of 4730 on a test with a mean of 3960 and a standard deviation of 555.5.
More can be learned about z-scores at brainly.com/question/28096232
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Total thickness of the stack of cards = 3/4 inch or 0.75 inch
In a full stack of cards, there are 52 cards.
Hence, the thickness of 52 cards = 0.75 inch.
To find the thickness of one card, we divide the total thickness with the total number of cards.
Thickness of one card =
1 inch = 2.54 cm
0.014423 inch is approximately equal to 0.34 cm.
Answer = 0.34 cm
Answer:
Step-by-step explanation:
∵ When x is a random variable having distribution B(n, p), then for sufficiently large value of n, the following random variable has a standard normal distribution,
Where,
Here the variable X has a binomial distribution,
Such that, np (1 - p) ≥ 10 ⇒ n is sufficiently large.
Where, n is the total numbers of trials, p is success in each trials,
So, the mean of variable X is,
And, variance of variable X is,