Answer :
Probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.
What is probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To find the probability that fewer than 70 in a random sample of 400 households are watching the series on a regular basis, we can use the binomial distribution.
The probability of observing x successes in a sample of size n with probability p of success is given by the following formula:
[tex]P(x) = (n choose x) * p^x * (1 - p)^(n-x) \\[/tex]
In this case, we can set n = 400, p = 0.2, and x = 70. Plugging these values into the
gives us:
P(x < 70) = P(x = 0) + P(x = 1) + ... + P(x = 69)
To calculate P(x = 0), P(x = 1), etc., we can use a loop in Excel to calculate the probability for each value of x from 0 to 69.
The probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is then given by the sum of these probabilities.
Rounding to four decimal places, the probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.
To know more probability visit,
https://brainly.com/question/13604758
#SPJ4
