The cost C, in dollars, for advertising on a social networking website is proportional to the number n of clicks on the advertis
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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.
Answer:
5.848 in
Step-by-step explanation:
Divide the piece of cardboard into nine equal squares of side z.
The centre square is the base of the cube.
When you cut out the corner squares and fold up the sides, you will have a cube with edge length z.
The cube must have a volume of 200 in³.
V = z³
200 = z³
z = 2 × 2.924
z = 5.848 in
The edge length of the cube is 5.848 in.
