Answer:
Step-by-step explanation:
<h3>
Algebraic Identities:</h3>
Identity used: (a +b)³ = a³ + b³ + 3ab(a +b)
p + q = -2 ------------------(I)
Both sides take cube,
(p +q)³ = (-2)³
a = p and b =q
p³ + q³ + 3pq(p +q) = -8
p³ + q³ + 3pq*(-2) = - 8 {From (I)}
p³ + q³ - 6pq = -8
p³ + q³ = -8 + 6pq
p³ + q³ + 8 = 6pq
Hence, proved.
A binomial experiment must have all of the following:
a) A fixed number of trials.
b) The result of each trial is not affected by the results of the other trials (independence).
c) The probability of a 'success' is the same for each trial.
d) Each trial has only two possible outcomes, which are usually called 'success' and 'failure'.
Using the above criteria, the only choice of answer that qualifies as a binomial experiment is c) "flipping a coin 10 times and recording if it comes up heads."
Answer: the answer is 730
Step-by-step explanation:
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Answer:
The answer is y = 8/3x + 4/5yx - 131/5
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Given that random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample mean is 10 and the sample standard deviation is 2.
95 % CI for mean 9.1744 to 10.8256
Since p >0.05 accept null hypothesis.
a) Yes because std dev sigma not known. df = 24
b)
H0: x bar = 9.5
Ha: x bar not equals 9.5
c) t-statistic 1.250
d) P = 0.2234
e) We fail to reject null hypothesis
f) There is no statistical evidence at 5% level to fail to reject H0.