PROBABILITY QUESTION (Data) please help 4 cards are taken out of a standard deck (52 cards). What is the probability that the 4th card is a red face card, or a jack given that the jack of diamonds is the first card selected, the queen of hearts is the second card selected, and the third card is the 3 of diamonds?

Worth 15 points handsome jack is buying a pony made of diamonds. the price of the pony is p dollars, and jack also has to pay a 25% diamond pony tax. which of the following expressions could represent how much jack pays in total for the pony? a= p = 1/4 b= p+0.25p c=(p + 1/4)p d=5/4p 0.25p choose 2 answers

Simplify the following expression 48^1/2

Atest of sobriety involves measuring the subject's motor skills. a sample of 31 randomly selected sober subjects take the test and produce a mean score of 64.4 with a standard deviation of 2. a claim is made that the true mean score for all sober subjects is equal to 65. for each part below, enter only a numeric value in the answer box. for example, do not type "z =" or "t =" before your answers. round each of your answers to 3 places after the decimal point. (a) calculate the value of the test statistic used in this test. test statistic's value = (b) use your calculator to find the p-value of this test. p-value = (c) use your calculator to find the critical value(s) used to test this claim at the 0.2 significance level. if there are two critical values, then list them both with a comma between them. critical value(s) =