Help me pls asap Stats and prob

What is the value of the nite population correction factor given a population consisting of 1. 2. 3, 4, 5. and 6 with a sample size of 3? 0.60 0.78 0.74 0.77 0000 am A certain type of radio tubes last on the average of 3 years with a standard deviation of 2.9 years. What is the probability that a random sample of40 tubes taken from a population of N = 300 will last an average of more than 2 years? Express your answer in percent form with 2 decimal places (with the percent symbol - cg. 10.00%). | type your answer... 2 points The Central Limit Theorem assures us that the sampling distribution of the sample means will tend to have a normal distribution regardless of the shape of the variance population 0 O 0 sample data 0 sampling 3 points Supposed that we randomly select a sample of 144 measurements from an infinite population having a mean equal to 32 and a standard deviation equal to 6. What is the mean and standard deviation of the sampling distribution? O mean = 144, SD = 0.50 O mean = 144, SD = 0.75 mean = 32, SD = 0.04 O mean = 32, SD = 0.50I 3...... A population of 2,800 students from a certain region have normally distributed National Examination scores with a mean of 79 and standard deviation of 15. What is the probability that a random sample of 40 students has a score ofat most 85? Express your answer in percent form with 2 decimal places (with the percent symbol - e.g. 10.00%). type your answer... 4 points 9 The average cost per household of owning a brand new car is P5000. Suppose that we randomly selected 35 households, determine the probabiiity that the sample mean for these 35 households is between ?5,250 and P5500. Assume that the variable is normally distributed and the standard deviation is P1550. SD of the sample mean (input 4 decimal places)= type your answer... ' z-scores (input 2 decimal places) I type your answer... i' type your answer... Final answenr Probability (input 2 decimal places type your answer... '"A: 7 2 points The formula in determining the standard deviation of the sampling distribution given an infinite population is . O True O False