A random variable r is normally distributed with a mean of 7 and a standard deviation of 1.5. Find the value of w so that P (8.8
1 answer:
Answer:
The answer is explained below
Step-by-step explanation:
Given that:
mean (μ) = 7 and standard deviation (σ) = 1.5.
The z score is used in statistic used to measure the number of standard deviation by which the raw score is above or below the mean value. It is given by:
To find the Probability that x < 8.8, we first find the z score using:
From the z tables, P(x < 8.8) = P(z < 1.2) = 0.8849 = 88.49%
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Answer:
So then the correct answer would be:
B) .9996
Step-by-step explanation:
The exact way to solve this problem is using the binomial distribution, assuming that our random variable of interest is "number of students living in apartments" represented by X and
And we want this probability:
So we see that we satisfy the conditions and then we can apply the approximation.
If we appply the approximation the new mean and standard deviation are:
And then
And we are interested on the following probability:
So then the correct answer would be:
B) .9996
Answer:
The total area of both rooms and the aquarium is equal to 10,932 ft²
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
the length sides of Aquarium are
(83-32) x (72-52)-----> 51 ft x 20 ft
Area reptile room=(83*72)-area of aquarium----> 83*72-51*20---> 4,956 ft²
[ total area of both rooms]=2*4,956-----> 9,912 ft²
I'm assuming that the two areas are equal
Area of aquarium=51*20=1,020 ft²
therefore
the total area of both rooms and the aquarium is equal to
9,912 ft²+1,020 ft²=10,932 ft²
