Section 5.1 Learning Check||Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|A bus has a front and a rear door which are both opneded to allow passengers to exit. The bus has 40 passengers seated. The number of passengers exiting through the front door should have # a binomial distribution with mean 20. %% a binomial distribution with 40 trials but success probability not equal to 0.5. %% a normal distribution with a mean of 20. %% none of the above. %%|A set of ten cards consists of five red and five black cards. Four cards are chosen at random with replacement. The number of red card chosen in these four trials has  # binomial distribution with n=10 and p=0.5. %% binomial distribution with n=4 and p=0.5. %% uniform distribution on 0, 1, 2, 3, 4. %% normal distribution with mean 2 and variance 1. %%|In a certain game of chance, you chance of winning is 0.2. If you play the game five times and outcomes are independent, the probability that you win all five games is # 0.6723 %% 0.3277 %% 0.0400 %% 0.00032 %%|If X has a binomial distribution with n=9 and p=1/3, the mean of X is # 6 %% 3 %% 2 %% 1.414 %%|If X has a binomial distribution with n=9 and p=1/3, the standard deviation of X is # 6 %% 3 %% 2 %% 1.414 %%|A survey asks a random sample of 1500 adults in Ohio if they support an increase in the state sales tax from 5% to 6%. Suppose that 40% of all adults in Ohio supports the increase. # The probability that proportion of 1500 adults who support the increase is more than 0.5 is less than 0.0001 %% The probability that proportion of 1500 adults who support the increase is more than 0.5 is about 0.10 %% The probability that proportion of 1500 adults who support the increase is more than 0.5 is 0.4601 %% The probability that proportion of 1500 adults who support the increase is more than 0.5 is 0.50 %%|Suppose that X has abinomial distribution with n=15 and p=0.7. P(X=4) is # 0.0148 %% 0.2186 %% 0.0006 %% 0.0001 %%|Suppose that X has a binomial distribution with n=100 and p=0.20. The probability that X exceeds 20 is approximately # 0.2000 %% 0.2266 %% 0.5000 %% 0.7734 %%