b) If three bags are selected at random, find the probability that 2 bags weigh more than 55 kg. c) Compute the probability in part a using RStudio.
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- The probability that a young person exposed to a virus will contract it is known to be 0.4. The probability that the tenth young person studied is the third to contract the virus is: a) 0.9420 b) 0.0297 c) 0.9355 d) 0.06453) Each year, Sydney, Australia, on average, gets hit by 4 tropical storms. Find the probability that in a given year that area will be hit by more than 2 storms. (5 pts.)The probability that a person owns a car is 0.85, that a person owns a laptop is 0.45, and that a person owns both a car and a laptop is 0.35. If a person is selected at random, a) Find the probability that the person owns either a car or a laptop. b) Find the probability that the person has a laptop given that he has a car also. c) Find the probability that the person has neither a car nor a laptop. d) Show that the events 'own a car' and 'own a laptop' are not independent.
- Two dies are rolled find the probability that; a) The product of the numbers of dots in the two dies is 25. b) The product of the numbers of dots in the two dies is 12. c) The product of the numbers of dots in the two dies is less than 20. d) The product of the numbers of dots in the two dies is more than 13.According to a theory a type of cross breeding of guinea pigs will produce red, black and white offspring in the ratio 8:4:4. Find the probability that among 8 offspring 2 will be red, 3 black, and 3 white.Please give your answer to at least 3 decimal places. It is estimated that 15% of all CIT students cycle to college. A random sampl of 6 CIT students is chosen. a) b) Calculate the probability that none of the 6 students in the sample cycle t college. Calculate the probability that at least 3 of the 6 students cycle to college.
- When rolling a die 114 times, what is the probability of rolling a 6 greater than 20 times? Question 6 options: 1) 0.0948 2) 0.4395 3) 0.3447 4) 0.0474 5) 0.6553Assume that the average number of births in a hospital is 3 births per shift.a) What is the probability that more than one child will be born in one shift?b) What is the probability that six children will be born in two shifts?A soccer player makes a successful penalty kick 48% of the time. If she kicks 9 times, what is the probability that she gets exactly 3 kicks in the net? Assume that each kick is independent of the others. A) 0.0853 B) 0.111 C) 0.184 D) 0.00219