A cylindrical flower vase has a height of 8 inches and a radius of 2 inches what is the volume of the vase?
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Answer:
A) The probability that of 10 randomly selected students, less than four will be between 900 and 1,100 is 0.3823 .
B) The probability that more than four students will be in this range 0.3669, the probability that exactly four students will be in this range is 0.2508 .
Step-by-step explanation:
About 40% of these students scores were between 900 and 1,100 which means that 0.40 is the probability.
Take "X" to be the number out of 10 randomly selected students, with score between 900 and 1,100. We can say that X has a Binomial distribution with the following parameters;
a - Number of trials (number of randomly selected students (n) = 10
b - The probability that a randomly selected student's score is between 900 and 1,100 (p) = 0.40
We can write the probability that X = x students will be between 900 and 1,100 as it is seen in attached equation 1
a) Based on this estimate, what is the probability that of 10 randomly selected students, less than four will be between 900 and 1,100?
the probability that of 10 randomly selected students, less than four will be between 900 and 1,100 is <em>attached equation 2 with the mathematical solution.</em>
answer: the probability that of 10 randomly selected students, less than four will be between 900 and 1,100 is 0.3823
b) What is the probability that more than four students will be in this range?
<em>See attached equation 3 and solution</em>.
answer: the probability that more than four students will be in this range 0.3669
What is the probability that exactly four students will be in this range?
<em> See attached equation 4 and solution.</em>
answer: the probability that exactly four students will be in this range is 0.2508
