Could someone kindly help me with steps to answer these questions? Please use hypergeometric distribution. It would also be helpful if it was written on paper

MDM 4U Lesson 9 Assignment. 126 Name: Multiple choice questions circle the best choice |1 mark each] 1. There are four cats and six dogs in a pet store. Three pets are chosen at random for a visit 1o a children's hospital. What is the probability that exactly two of the pets will be dogs? a) 0.4 by 0.7 c)0.5 d)0.3 ) none of these 2. Referto question | ahbove. What is the expected number of dogs chosen? a)28 b 18 e) 1.5 d)33 &) none of these 3. Five cands are dealt from a standard deck. What is the probability that all five cards are dismonds? a) 0.400298 b) 0.007459 ] 05000302 d) 0.0004952 ) none of these 4. Refer to question 3 above. What is the expected number of diamonds? a) 285 b) L85 ) 1.25 d) 335 ) none of these 5. What is the expected number of women on a six-member jury randomly chosen from 12 women and 10 men a)44 b) 2.7 )75 d) 33 ] none of these 6. Ten-member jury for a criminal case will be selected from a pool of 12 men and 12 women. What is the probability that the jury will have 5 men and women? a) D.0389 b) 0.4565 ) 03198 d) none of these PART B FULL SOLUTION. Write complete solutions in order to get full marks 1. There are 30 students in a room. Ten of them are boys and the rest are girls. [2 marks each) @) What is the probability that a randomly made group of 12 sudents will have 5 boys? b) What is the probability that a randomly made group of 12 students will have 6 girls? ) If you make a group of 12 students, what is the expected number of girls? MDM 4U Lesson 9 Assignment /26 Name: 2) There are five cats and seven dogs in a pet shop. Four pets are chosen at random for a visit to a children's hospital. Create a probability distribution for the number of dogs chosen for a random visit to the hospital. [2 marks each] of Dogs P(X) (X) 0 b) What is the probability that at least one dog is chosen to go? [2 marks] ) What is the expected number of dogs chosen? |2 marks]