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Answer :
The probability that fewer than half in your sample will watch news videos is 0.0951 or 0.0951. (Round to four decimal places as needed.)
The probability is that fewer than half of the adults in the sample will watch news videos.
The formula used to calculate the probability is:
P(X < 25) = P(X ≤ 24)P(X ≤ 24) = P(X < 24.5) (because X is a discrete random variable)
To calculate the probability P(X < 24.5), you will standardize X as shown below:
X ~ N(μ, σ²)X ~ N(np, np(1 - p))X ~ N(50 × 0.52, 50 × 0.52 × 0.48)X ~ N(26, 12.48)z = (X - μ) / σz = (24.5 - 26) / √(12.48)z
= -1.31
Using a standard normal table, we find that P(Z < -1.31) = 0.0951
Therefore, P(X < 24.5) = 0.0951P(X ≤ 24)
= P(X < 24.5) ≈ 0.0951
Therefore, the probability that fewer than half in your sample will watch news videos is 0.0951 or 0.0951. (Round to four decimal places as needed.)
Know more about probability here:
https://brainly.com/question/251701
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