Answer:
Probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.
Step-by-step explanation:
Consider the event of voting against the piece as success, 'p'. So, voting in favor of the piece is failure and denoted by 'q'.
Given:
Sample size is,
Probability of failure is,
Therefore, probability of success is,
Number of successes is,
Now, from Bernoulli's distribution, probability of successes out of
samples is given as:
Here, . Therefore,
Therefore, probability that 10 of them plan to vote against this piece of proposed legislation is 0.0701 or 7.01 %.
