<span>A random variable is normally distributed with a mean of 25 and a standard deviation of 5. if an observation is randomly selected from the distribution, determine two values of which the smallest has 25% of the values below it and the largest has 25% of the values above it.</span>
Answer:
12x15x6
Step-by-step explanation:
easy math
Answer:
The probability that a student passed the test given that they did not complete the assignment is .
Step-by-step explanation:
The probability of an event <em>E</em> is the ratio of the number of favorable outcomes <em>n</em> (E) to the total number of outcomes <em>N</em>.
The union of two events is:
The intersection of the complements of two events is:
The condition probability of an event given that another event has already occurred is:
Denote the events as follows:
<em>A</em> = students who passed the test
<em>B</em> = students who completed the assignment
Given:
N = 27
n (A) = 17
n (B) = 22
= 3
Compute the value of P (<em>A</em> ∪ <em>B</em>) as follows:
Compute the value of P (A ∩ B) as follows:
Compute the value of P (A | B) as follows:
Thus, the probability that a student passed the test given that they did not complete the assignment is .
Answer:
Hypergeometric
Kindly check explanation
Step-by-step explanation:
For a hypergeometric distribution, the following conditions must be met :
1.) The total number of samples must be fixed.
2.) Sample size will be a portion of the population
3.) The probability of success changes per trial. This is because sampling is done without replacement
The above scenario meets the condition described:
Total number of samples = 210
Sample size, n = 10
Blue balls = 200 ; red balls = 10
P(10 red balls)
Using the hypergeometric distribution function and the calculator :
X ~ H(n, N, M)
X ~ (10, 200, 210) = 0.6072
All we need to do is to find a common denominator for both 1/2 and the other numbers individually:
1/2 = 3/6 (so 3/6 is not less than 1/2 - both numbers are equal)
1/2 = 15/30 and 7/15 = 14/30 (so 7/15 is less than 1/2)
1/2 = 9/18 and 4/9 = 8/18 (so 4/9 is less than 1/2)
1/2 = 4/8 (so 5/8 is not less - it's greater than 1/2)
Answer: From the list above only <u>7/15 and 4/9</u> are less than 1/2.