Answer:
x
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−
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Step-by-step explanation:
basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time. find the probability that he m
1 answer:
we are given
basketball player Chauncey Billups of the Detroit Pistons makes free throw shots 88% of the time
so, probability of making shot is
=88%
so, p=0.88
To find the probability of missing first shot and making the second shot
so, we can use formula
probability = p(1-p)
now, we can plug values
we get
So, the probability that he misses his first shot and makes the second is 0.1056........Answer
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Sphere
The radius of the sphere is the only unknown variable need to find the volume of a sphere.
Step-by-step explanation:
Sphere is a geometrical three dimensional round figure with every point on its surface equidistant from its center. It is a three dimensional representation of a circle. A line which connects from the center to the surface is called radius of the sphere.The diameter of the sphere is the longest straight line which passes through the center of the sphere.
The volume of sphere is given by:
Volume of sphere(V) =
where V is the volume of the sphere
r is the radius of the sphere
= 3.14
Hence the only unknown variable to find the volume of a sphere is the radius.
Answer:
a) P(x≥6)=0.633
b) P(4≤x≤8)=0.8989 (one standard deviation from the mean).
c) P(x≤7)=0.8328
Step-by-step explanation:
a) We can model this a binomial experiment. The probability of success p is the proportion of customers that prefer the oversize version (p=0.60).
The number of trials is n=10, as they select 10 randomly customers.
We have to calculate the probability that at least 6 out of 10 prefer the oversize version.
This can be calculated using the binomial expression:
b) We first have to calculate the standard deviation from the mean of the binomial distribution. This is expressed as:
The mean of this distribution is:
As this is a discrete distribution, we have to use integer values for the random variable. We will approximate both values for the bound of the interval.
The probability of having between 4 and 8 customers choosing the oversize version is:
c. The probability that all of the next ten customers who want this racket can get the version they want from current stock means that at most 7 customers pick the oversize version.
Then, we have to calculate P(x≤7). We will, for simplicity, calculate this probability substracting P(x>7) from 1.