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DaniilM [7]
3 years ago
9

Anwar selects a playing card at random from the following 666 cards:

Mathematics
1 answer:
dalvyx [7]3 years ago
3 0

Answer:

We have 6 cards.

9 of hearts

5 of spades

6 of hearts

2 of spades

4 of hearts

7 of hearts.

A is the event where Anwar selects an even numbered card.

B is the event where she choses a heart.

we have 3 even cards (and two of them are hearts)

we have 4 hearts (2 of them are even)

The probability of event A is Pa = 3/6 = 1/2

the probability of event B is = Pb = 4/6 = 2/3

The probability of event A and Event B is the number of heart cards with even numbers, that are 2 divided the total number of cards:

Paandb = 2/6 =  1/3

the probabilty of A if we know that B is true:

P(AIB) = 2/4 = 1/2 (this is because we have 4 hearts, and we know that 2 of those 4 cards are even)

the probability of B if we know that A is true:

P(BIA) = 2/3 (this is because we have 3 even cards, and 2 of them are hearts)

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To better understand the financial burden students are faced with each term, the statistics department would like to know how mu
Semmy [17]

Answer:

Answer:

a).

The amount spent on school materials for each term of all ST201students

b).

a).

It is not a random sample. This looks like a convenience sampling and there is sampling bias. This sample is not representative of the entire population. Since it is not a random sample it is not appropriate to generalize the results to all students.

b).

The sample size is 80 which is greater than 30. It is large enough to assume normal distribution according to central limit theorem.

c).

mean: $617

z critical value at 95%: 1.96

standard error = σ/sqrt(n) =500/sqrt(80) = 55.9017

lower limit= mean-1.96*se = 617-1.96*55.9017=507.43

upper limit= mean+1.96*se = 617+1.96*55.9017=726.57

d).

The amount spent on school materials for each term for the 80 ST201students is $617. We are 95% confident that amount spent on school materials for each term of all ST201students falls in the interval ($507.43, $726.57).

Step-by-step explanation:

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