A rectangle measures 15 cm by 4 cm what's it's area
1 answer:
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Using the normal distribution, the probability is given as follows:
.
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.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
The parameters for the binomial distribution are:
p = 0.5, n = 13.
Hence the mean and the standard deviation are:
.
Using continuity correction, the desired probability is P(X > 9.5), which is <u>one subtracted by the p-value of Z when X = 9.5</u>, hence:
Z = 1.66
Z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485, then:
.
More can be learned about the normal distribution at brainly.com/question/4079902
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