Answer:
The solution is:
Step-by-step explanation:
The first step to solve this equation is placing everything with the logarithmicto one side of the equality, and everything without the exponential to the other side. So
It already is in the desired format.
Now, we have that, since e and ln are inverse operations
So, we apply the exponential to both sides of the equality
Answer:
The probability is 0.0014
Step-by-step explanation:
When we have two possible outcomes p, q and we repeat the experiment multiple times, we apply the Binomial distribution, in this distribution the probability of getting exactly k successes in n trials is given by
where p represents the probability of success. nCk refers to the combinations of k elements out of n elements.
In this case, p= .29 (the probability that the person says "yes" being confident that passenger trips to the moon will occur in their lifetime.
q = .71 (The probability that the person says "no")
We sample 200 americans, therefore, we have n = 200 and we need the probability that less than 40% of the people sampled answer "yes".
The 40% of 200 is 80. So, in other words, we need less than 80 people to answer yes to the question.
P(x<80) = P(x=0) + P(x=1) + P(x=2) + .... + P(x=79) = 0.00143466294 (we can use a Binomial Distribution calculator to compute this result)
Therefore, P(x < 80) = 0.0014