A frequency table is shown for the height's of 6th graders in a class at Oakville Elementary School. What is the probability tha
t a sixth grader in this class is 52 inches tall?
A) 0.14
B) 0.21
C) 0.25
D) 0.28
A) 0.14
B) 0.21
C) 0.25
D) 0.28
2 answers:
Answer:
<h2>B) 0.21</h2>Step-by-step explanation:
To find the probability, we first need to know the total number of students, which is the sum of all frequencies
Then, we look for the total number of students 52 inches tall.
According to the table, there are only 6 students 52 inches tall.
So, the probability would be the quotient between 6 and 28
Therefore, the right answer is B.
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Answer:
a) 34.46% of 10-year-old boys is tall enough to ride this coaster.
b) 78.81% of 10-year-old boys is tall enough to ride this coaster
c) 44.35% of 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part a
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
a. What proportion of 10-year-old boys is tall enough to ride the coaster?
This is 1 subtracted by the pvalue of Z when X = 56.
So
has a pvalue of 0.6554
1 - 0.6554 = 0.3446
34.46% of 10-year-old boys is tall enough to ride this coaster.
b. A smaller coaster has a height requirement of 50 inches to ride. What proportion of 10-year-old boys is tall enough to ride this coaster?
This is 1 subtracted by the pvalue of Z when X = 50.
has a pvalue of 0.2119
1 - 0.2119 = 0.7881
78.81% of 10-year-old boys is tall enough to ride this coaster.
c. What proportion of 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part a?
Between 50 and 56 inches, which is the pvalue of Z when X = 56 subtracted by the pvalue of Z when X = 50.
From a), when X = 56, Z has a pvalue of 0.6554
From b), when X = 50, Z has a pvalue of 0.2119
0.6554 - 0.2119 = 0.4435
44.35% of 10-year-old boys is tall enough to ride the coaster in part b but not tall enough to ride the coaster in part a
Answer with explanation:
An Unbiased Dice is Rolled 199 times.
Frequency of outcomes 1,2,3,4,5,6 are=28, 29, 47, 40, 22, 33.
Probability of an Event
→→→To check whether the result are significant or not , we will calculate standard error(e) and then z value
1.
→→If the value of z is between 2 and 3 , then the result will be significant at 5% level of Significance.Here value of z is very less, so the result is not significant.
2.
Result is not significant.
3.
Result is not significant.
4.
Result is not significant.
5.
Result is not significant.
6.
Result is not significant.
⇒If you will calculate the mean of all six z values, you will obtain that, z value is less than 2.So, we can say that ,outcomes are not equally likely at a 0.05 significance level.
⇒⇒Yes , as Probability of most of the numbers that is, 1,2,3,4,5,6 are different, for a loaded die , it should be equal to approximately equal to 33 for each of the numbers from 1 to 6.So, we can say with certainty that loaded die behaves differently than a fair die.