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Elena-2011
2 months ago
12

A thumbtack that is tossed can land point up or point down. The probability of a tack landing point up is 0.2. A simulation was

conducted in which a trial consisted of tossing 5 thumbtacks and recording the number of thumbtacks that land point up. Many trials of the simulation were conducted and the results are shown in the histogram.
Based on the results of the simulation, which of the following is closest to the probability that at least 2 thumbtacks land pointing up when 5 thumbtacks are tossed?

A 0.09

B 0.19

C 0.28

D 0.72

E 0.91

Mathematics
2 answers:
PIT_PIT [12.4K]2 months ago
8 0

Answer:

Option C: 0.28

Detailed explanation:

This situation presents a binomial probability distribution.

We need to determine the likelihood that at least 2 thumbtacks land point up out of 5 tossed ones. This can be expressed as;

P(X ≥ 2) = P(2) + P(3) + P(4) + P(5)

Referring to the histogram;

P(5) = 0.02

P(4) = 0.02

P(3) = 0.05

P(2) = 0.19

Consequently;

P(X ≥ 2) = 0.19 + 0.05 + 0.02 + 0.02

P(X ≥ 2) = 0.28

PIT_PIT [12.4K]2 months ago
7 0

Answer:

0.28

Step-by-step explanation:

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