Mathematics, 24.06.2020 17:01 hunterpenningtouoie8

What is the probability that a senior Physics major and then a sophomore Physics major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places

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Answer from: tiffxnnyyy

The probability that a senior Physics major and then a sophomore Physics major are chosen at random is 0.0095.

Step-by-step explanation:

The complete question is:

There are 103 students in a physics class. The instructor must choose two students at random.

Students in a Physics Class

Academic Year Physics majors Non-Physics majors

Freshmen 17 15

Sophomores 20 14

Juniors 11 17

Seniors 5 4

What is the probability that a senior Physics major and then a sophomore Physics major are chosen at random? Express your answer as a fraction or a decimal number rounded to four decimal places.

Solution:

There are a total of N = 103 students present in a Physics class.

Some of the students are Physics Major and some are not.

The instructor has to select two students at random.

The instructor first selects a senior Physics major and then a sophomore Physics major.

Compute the probability of selecting a senior Physics major student as follows:

$P(\text{Senior Physics Major})=\frac{n(\text{Senior Physics Major}) }{N}$

$=\frac{5}{103}\\\\=0.04854369\\\\\approx 0.0485$

Now he two students are selected without replacement.

So, after selecting a senior Physics major student there are 102 students remaining in the class.

Compute the probability of selecting a sophomore Physics major student as follows:

$P(\text{Sophomore Physics Major})=\frac{n(\text{Sophomore Physics Major}) }{N}$

$=\frac{20}{102}\\\\=0.1960784314\\\\\approx 0.1961$

Compute the probability that a senior Physics major and then a sophomore Physics major are chosen at random as follows:

$P(\text{Senior}\cap \text{Sophomore})=P(\text{Senior})\times P(\text{Sophomore})$

$=0.0485\times 0.1961\\\\=0.00951085\\\\\approx 0.0095$

Thus, the probability that a senior Physics major and then a sophomore Physics major are chosen at random is 0.0095.

Answer from: Quest

just find the gcf and solve the gcf's until you get each answer i have a really good feeling somethings missing xd (like the dimensions of the fence) *cough *cough *hint *hint

step-by-step explanation:

Answer from: Quest

0.038

step-by-step explanation:

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