a scale drawing of a school bus has a scale of 2 inches to 5 feet. if the length of the school bus is 4 inches on the scale draw
1 answer:
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Answer:
c) P(270≤x≤280)=0.572
d) P(x=280)=0.091
Step-by-step explanation:
The population of bearings have a proportion p=0.90 of satisfactory thickness.
The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.
As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).
The mean of this distribution will be:
The standard deviation will be:
We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:
Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.
The mean of this sampling distribution is:
The standard deviation will be:
c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:
d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:
Answer:
8.5 inches
Step-by-step explanation:
Scientific scientific notation is where the super small / super large number is multiplied by a 10 (E) to the power of a number. Here, the number is smaller than 8.5 so our power must be negative. As we are making it four "places" bigger, we use the exponent of -4.
Hope this helps, have a nice day! :D