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- The accompanying table descibes results from groups of 10 births from 10 different sets of parents. The random variable x represents the number of girls among 10 children. Use the range rule of thumb to determine whether 1 girl in 10 births is a significantly low number of girls. Use the range of thumb to identify a range of values that are significant the maximum value in this range is ___ girls . (round to one decimal place as needed). The minimum value in this range is ___ girls . (round to one decimal place as needed ). Based on the result is 1 girl in 10 births a significantly low number of girls ? Explain .In analyzing hits by certain bombs in a war, an area was partitioned into 575 regions, each with an area of 0.15 km2. A total of 505 bombs hit the combined area of 575 regions. Assume that we want to find the probability that a randomly selected region had exactly three hits. In applying the µ^ • e Poisson probability distribution formula, P(x) = identify the values of u, x, and e. Also, briefly describe what each of those symbols х! represents. Identify the values of u, x, and e. X= and e = (Type integers or decimals rounded to five decimal places as needed.) Briefly describe what the symbol u represents. Choose the correct answer below. A. The symbol p represents a static value. B. The symbol u is a variable that represents the number of occurrences of the event in an interval. C. The symbol u is a variable that represents the mean number of occurrences of the event in the intervals. D. The symbol u is a variable that represents the area of each region. E. The symbol u is a variable…a) A random variable has a binomial distribution. Findi) Its expexctation
- This problem involves the flipping of a fair coin. Assume that the coin is flipped 3 times, and the random variable X is defined to be 3 times the number of heads minus 4 times the number of tails. How many different values are possible for the random variable X? *please explain the process of finding how many different values there are for X*To test the null hypothesis that the difference between two population proportions is equaluse StatCrunch or the formulaz =(p1 (carat) - p2 (Carat) / (Sq root) p1 (carat) (1 - p1 (carat)/n1 + p2(carat) (1 - p2(carat))/n2As long as n1 and n2 are both large, the sampling distribution of the test statistic z will beapproximately the standard normal distribution. Given the sample data below, test the claim that the proportion of female voters who plan to vote Republican at the next presidential election is less than the percentage of male voters who plan to vote Republican. Use the traditional method of hypothesis testing and use a significance level of 0.05.Men: n1 = 250, x1 = 146, p1(carat)=.584Women: n2 = 309, x2 = 103, p2(carat) = .333 3)a. Write the null and alternative hypotheses to test this claim. b. What is the value of the test statistic? Show you work.c. What is the associated P-value? d. State your conclusion and explain in context using ΅ = 0.05.the sample space is {p,q,r,s,t,u,v } with the foll prob 0.1,0.05,0.2,0.3,0.15,0.1 and0.1 L=event {p,q,v} Q= event {q,s,u} R=event{r,t,v,p} find P(Q' interesection R')
- Random samples of size 3 are drawn from a finite population consisting of the numbers 1,2,3,6,and 8. >How many possible samples can we have from the given population?Q4// In how many different ways can eleven cakes be distributed among three kids such that each kid gets not less than two cakes and not more than four cakes?Suppose there is a random Uniform(-1, 1) random variable (Null hypothesis), or Uniform(0,1) (alternative hypothesis) depend on 3 independent sample X1, X2, X3. What is the smallest possible false negative error among all tests with false positive error 1/8?
- For each random variable defined, describe the set of possible values for the variable, and state whether the variable is discrete or continuous. (a) U = number of times a surfer has to paddle in front of a wave before catching one (b) X = length of a randomly selected angelfishWhat is the Central Limit Theorem? It is always true that as the sample size, n, increases, the distribution of the sample means will be approximately normally distributed. ExplainA survey of heads of households showed the percentage of those who asked for a raise and the percentage of those who asked for a raise and the percentage who got one. Accordig to the survey, of the omen interviwed 28% asked for a raise, and of those women who asked for a raise, 45% recieved the raise. If a woman is selected at random from the survey population of women, find the following probabilites. (To three decimal places) P(woman asked for a raise) P(woman recieved raise, given she asked for one) P(woman asked for raise and recieved raise)
