Answer:
A.9
B.6
C.7
D.1
E.5
F.4
G.2
H.3
I.8
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Answer:
Step-by-step explanation:
<u>Given</u>
<u>Substitute and solve for n:</u>
- 42 = n² + n
- n² + 2*1/2n + 1/4 = 42.25
- (n + 0.5)² = 42.25
- n + 0.5 = √42.25
- n + 0.5 = 6.5
- n = 6
Correct option is C
Answer:
Step-by-step explanation:
To calculate the theoretical probability here, we need three inputs: 1) the number of trials (which here is 7); the probability of success (which here is 0.75); and an integer representing the particular outcome (which here would be r: {0, 1, 2, 3, 4, 5, 6, 7}.
(a) Most of today's calculators have probability distribution functions built in. I've used binompdf(n,p,r) here. i. P(2) = 0.012 is correct; it's the result of typing in binompdf(7,0.75,2). ii. P(3) = 0.058 is correct. iii. P(4) = 0.005 is false; this probability is 0.173. iv. P(5) = 0.015 is false. v. P(6) = 0.311 is correct.
(b) The probability that at least four trials are successful is equivalent to P(4) + P(5) + P(6) + P(7). Another way in which to calculate this would be to add up P(0) + P(1) + P(2) + P(3) and subtract the resulting sum from 1.00: That comes to: 1 - (0.000 + 0.001 + 0.012 + 0.058), or 1 - 0.071, or 0.929
Answer:
The probability that the difference between the sample mean and the true population mean is :
Step-by-step explanation:
Given :
Population standard deviation .
Sample size
The sample mean standard deviation
To find :
The probability that the difference between the sample mean and the true population mean
Now, the probability that the difference between the sample mean and the true population mean is :
, is large
Therefore, the probability