3. A die will be rolled until the first ace comes out. Let X be the number of rolls till the first ace comes out. Find the distribution of X.

The average fruit fly will lay 389 eggs into rotting fruit. A biologist wants to see if the average will be fewer for flies that have a certain gene modified. The data below shows the number of eggs that were laid into rotting fruit by several fruit flies that had this gene modified. Assume that the distribution of the population is normal. 358, 388, 362, 382, 371, 385, 384, 393, 403, 389, 405 What can be concluded at the the a = 0.10 level of significance level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho? Select an answer♥ H₁ PS Select an answer c. The test statistic ? (please show your answer to 3 decimal

need help with B, C, D

The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance?  For this study, we should use Select an answer t-test for a population mean z-test for a population proportion        H0:H0:  ? μ p  Select an answer = ≠ > <         H1:H1:  ? p μ  Select an answer = > < ≠     The test statistic ? t z  =  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.)

I'm looking for help on the first 3 bullet points please.

There are 100 students in a club. 20 are seniors. 12 arrive at December’s meeting at random. We want to predict the number of seniors that arrive. Describe the distribution and determine P(x=3).

der Describe the shape of the distribution. OA. The distribution is uniform. O B. The distribution is skewed to the right. OC. The distribution is skewed to the left. OD. The distribution is bell shaped.

NEED HELP WITH:  E,F,G

The average final exam score for the statistics course is 82%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is different. The final exam scores for the 14 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 90, 78, 82, 59, 67, 71, 64, 78, 67, 57, 79, 86, 66, 56 What can be concluded at the the αα = 0.05 level of significance level of significance?  For this study, we should use    (t-test for a population mean,  z-test for a population proportion) The null and alternative hypotheses would be:       H0: (symbol) (symbol) ____              H1: (symbol) (symbol) ____               The test statistic (?,t,z) = ____  (please show your answer to 3 decimal places.) The p-value =  (Please show your answer to 4 decimal places.) The p-value is (symbol)  αα Based on this, we should  (accept, reject, fail to reject) the null hypothesis.…

For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years.  POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…