Q19Comprehension2 Marks7 Jul 2024PassageLet X1,X2,X3X_1,X_2,X_3X1,X2,X3 be i.i.d. Binomial(5,0.5)\operatorname{Binomial}(5,0.5)Binomial(5,0.5). Based on this information, answer the given subquestions.What is the probability that exactly one out of the three random variables takes value greater than 444?A3×(54)(0.5)5[1−(54)(0.5)5]23\times\binom{5}{4}(0.5)^5[1-\binom{5}{4}(0.5)^5]^23×(45)(0.5)5[1−(45)(0.5)5]2B3×(0.5)5[1−(0.5)5]23\times(0.5)^5[1-(0.5)^5]^23×(0.5)5[1−(0.5)5]2C3×(0.5)53\times(0.5)^53×(0.5)5D3×[(54)(0.5)5]33\times[\binom{5}{4}(0.5)^5]^33×[(45)(0.5)5]3
