Is -3 a natural number a whole number a integer a rational number or irrational number
1 answer:
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Answer:
a) 96.64% probability that maximum speed is at most 50 km/h
b) 24.67% probability that maximum speed is at least 48 km/h
c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations
Step-by-step explanation:
When the distribution is normal, we use 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.
In this question, we have that:
A. What is the probability that maximum speed is at most 50 km/h?
This is the pvalue of Z when X = 50. So
has a pvalue of 0.9664
96.64% probability that maximum speed is at most 50 km/h.
B. What is the probability that maximum speed is at least 48 km/h?
This is 1 subtracted by the pvalue of Z when X = 48.
has a pvalue of 0.7533
1 - 0.7533 = 0.2467
24.67% probability that maximum speed is at least 48 km/h.
C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?
Z = 1.5 has a pvalue of 0.9332
Z = -1.5 has a pvalue of 0.0668
0.9332 - 0.0668 = 0.8664
86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations
Answer:
0.337 = 33.7% probability that one of the eight children has a food allergy.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have a food allergy, or they do not. The probability of a child having food allergy is independent of any other child. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
7% of U.S. children 4 years of age or younger have a food allergy.
This means that
A day care program has capacity for 8 children in that age range.
This means that
What is the probability that one of the eight children has a food allergy?
This is P(X = 1).
0.337 = 33.7% probability that one of the eight children has a food allergy.