Greetings,

Please answer all the attached questions with a full explanation for me to understand.

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Question 10 1 / 1 pts The graduates at a southern university are shown in the table. A student is selected at random from the graduating class. Find the probability that the student is male, given that an engineering degree is not received, P(M|E'). Write your answer as a simplified fraction. Agriculture (A) Engineering (E) Male (M) 113 610 Female (F) 62 40 Total 175 650 O 64/531 O 305/856 O 64/369 O 369/856Question 11 1 / 1 pts People were asked about their favorite color and the table below shows the results. Find P(person is under 18 n favorite color red). Blue Red Green Under 18 years of age 35 15 10 Between 18 and 40 25 30 30 Over 40 years of age 15 20 45 O 1/15 O 13/45 O 6/17 O 6/13Question 12 1 I 1 Pts A motor company has 3 manufacturing plants. Plant 1 produces 25% of motors with 1% defect rate, plant 2 produces 40% of motors with 1.6% defect rate, and plant 3 produces 35% of motors with 1.3% defect rate. If a motor is randomly chosen and is found defective, use Bayes' Rule to nd the probability that it came from plant 3. Provide your answer in decimal form and round it to three decimal places. Question 13 1 I 1 Pts A water well is being drilled in the desert where soil is either rock, clay, or sand. Probability of rock P(R) = 0.42, probability of clay PiC) = 0.34, and probability of sand P(S) = 0.24. A geological test gives positive results with 40% accuracy in rock, 50% accuracy with clay, and 80% accuracy in sand. Given the test is positive, what is the probability that the soil is rock, P{Rock|positive]? Use Bayes' rule. Provide your answer in decimal form and round it to three decimal places. Question 14 1 I 1 P\" A car dealer listed daily demands as shown below. Find the expected number of customers. _I--m 0-1 m m m 115 ? 6.?5 135 Question 15 1 / 1 pts Below is the probability distribution for random variable X. Find X -1 0 1 2 3 the expected value of X. P 0.16 0.24 0.32 0.18 0.10 O 0.82 O 1 O 1.50 O 0.75Question 16 1 / 1 pts Solve the formula for the specified variable. C = =(mx + mb) form O 70 m = 3(x+b) Om= 30 7(x +b) Om = 70 3x+b Om = 30 7x+b' Question 2 0 f 1 W" A grocery store manager recorded the amount of time each customer spent waiting in line during peak shopping hours one Friday. The frequency table below summarizes the results. Find the standard deviation. Round your answer to one decimal place. Ef'Gr-mz 3f Use this formula: 0' = (minutes) Students m __ Question 4 1 f 1 \"ts Evaluate Curmpxq\"_$ fer the given values of n, x, and [3. Round your answer to four decimal places. i \":7a$:41p:5 Question 5 1 f 1 P\" A test has 8 trueXfalse questions. At least 5 questions must be answered correctly to pass the test. If a student guesses on each question, what is the probability that the student will pass the test? Round answer to three decimal places. Question 6 0 / 1 NS The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000. Find the probability' that a bulb lasts for more than 6300 hours. Round answer to four decimal places. HINT: Calculate z-value and use z-probabilitv distribution table. ' Question 7 0 / 1 P\" Given a normal distribution with mean 360 and standard deviation 15. Find the number of standard deviations the given measurement is from the mean. Round answer to nearest hundredth. a: : 409.6 Question 8 1/ 1 \"ts A sample space consists of 79 separate events that are equally likely. What is the probability of each? Write your answer as a fraction. 1f79 ?8X?9 ?9X100 10X?9 Question 9 0 I 1 Pts A sample of 3 different bulbs is randomly selected from a group containing 8 that are defective and 22 that have no defects. What is the probability that at least one of the bulbs is defective? Round answer to three decimal places. 0-606