Question

conducts an experiment in which they tip a coin 10 times and count of heads. Let the random represent varlable X represent the number of heads. Write the distribution of x In a class of 40 students, each student conducts an experiment in which they flip a coin 10 times and count the number of heads. Let the random variable&represent the mean number of heads found by the students Write the distribution of á 8) One student conducts an experiment in which they spin a spinner angle of the pointer. Let the random variable X represent the angle of the spinner. Write the distribution of X. and measure the final 9) In a class of 40 students, each student conducts an experiment in which they spin a sp and measure the final angle of the pointer. Let the random variable X represent the mea angles found by the students.Write the distribution of X. F- 10) A statistics instructor believes that over 60% of Rutgers Camden students atte opening weekend showing of the latest Marvel movie. He surveys 62 of his stude that 20 of them attended a showing. The Type I error is to conclude that the perc Camden students who attended is: at most 60%, when in fact, it is greater than 60%. 60%, when in fact, it is 60%. greater than 60%, when in fact, it is at most 60%. greater than 60%, when in fact, it is greater than 60%.

Answer 1

6:

Since coin is fair so probability of getting a head in a single trial is 0.5. Here X will have binomial distribution with parameters n=10 and p=0.5.

That is

X ~ B(10,0.5)

7:

Sample size is 40. Using CLT $\bar{X}$ will have approximately normal distribution with mean

lis = μ = np = 10-0.5 = 5

and variance

σ3 = σ2 = 10.0.5.0.5 0.0625 0.252 40

So,

X ~ N(5.0.252)