![akitchen10](/avatars/40095.jpg)
akitchen10
15.02.2020 •
Biology
Only 10% of American adults can name the capital of the Czech Republic. On a television game show the three randomly selected contestants are given the question "What is the capital of the Czech Republic?" The probability that none of them will know the answer is about: (a)73% (b) 70% (c) 27% (d) 30% (e) 52% 5. A basketball player makes 70% of his free throws. If he is awarded 20 free throws, then the probability that he will make between 12 and 16 of them (including 12 and 16) is about (a).14 (b) 78 (c) 70 (d).53(e).22
Solved
Show answers
More tips
- F Family and Home Is It Worth Spoiling a Child?...
- S Society and Politics Will Japan become Russia s Military Enemy?...
- P Philosophy Is Everything We Strive for Eventually Achieved and Destroyed?...
- S Society and Politics Understanding Politics and Its Role in the Development of Civilization...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Society and Politics Skoptsy: Who They Are and How They Perform Castration?...
- O Other Childhood Fears: What Many of Us Experienced...
- P Philosophy What is Something for you?...
- H Health and Medicine Why Do Humans Have One Heart?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
Answers on questions: Biology
- B Biology The outer core is less dense than which of earth s layers? a. crust b. inner core c. lower mantle d. asthenosphere...
- E English The modern reader may notice the misogyny in swift s essay. does it make swift s criticism of society less powerful?...
- E English What is one way the use of a limited narrator creates tension in the passage? the narrators thoughts are not given in the passage. the narrator does not know that...
- M Mathematics Apply the distributive property and simplify, if possible. 0.08 (x +6,000)...
Ответ:
Problem 1: (a) 73%
Problem 2: (b) 78%
Explanation:
Problem 1:
The probability that a person can name the capital of Czech Republic is 10% which is 0.1. So,
p = 0.1
q = 1 - 0.1 = 0.9
n = 3
We will use the binomial distribution formula to find the probability that none of the contestants know the correct answer P(X=0). The binomial distribution formula is:
P (X=x) = ⁿCˣ pˣ qⁿ⁻ˣ
Where x = no. of successful trials
n = total no. of trials
p = probability of success
q = probability of failure
P(X=0) = ³C₀ (0.1)⁰ (0.9)³⁻⁰
P(X=0) = 0.729
0.729 x 100 = 72.9% ≅ 73% so option (a) is the correct answer.
Problem 2:
We will again use the binomial distribution formula to solve this problem. Here,
p = 70% = 0.7
q = 1 - 0.7 = 0.3
n = 20
We are required to find the probability P(12≤X≤16) which means we will compute P(X=12) , P(X=13), P(X=14), P(X=15) and P(X=16) using the binomial distribution formula and then add them to find the final answer. So,
P(12≤X≤16) = P(X=12) + P(X=13) + P(X=14) + P(X=15) + P(X=16)
= ²⁰C₁₂ (0.7)¹²(0.3)²⁰⁻¹² + ²⁰C₁₃ (0.7)¹³(0.3)²⁰⁻¹³ +²⁰C₁₄ (0.7)¹⁴(0.3)²⁰⁻¹⁴
+²⁰C₁₅ (0.7)¹⁵(0.3)²⁰⁻¹⁵ + ²⁰C₁₆ (0.7)¹⁶(0.3)²⁰⁻¹⁶
= 0.114 + 0.164 + 0.192 + 0.179 + 0.130
P(12≤X≤16) = 0.779
0.779 x 100 = 77.9% ≅ 78%
So, option (b) is the correct answer.
Ответ:
I will be your best fwend
Explanation: