probability consumer will be female, will buy item between  TOPIC_SOLVED

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probability consumer will be female, will buy item between

Postby confused on Mon May 04, 2009 4:17 pm

1.: At a certain flea maket, 35% of purchases are $10 to $20. The probablity that a consumer will be a male is 60%. What is the probablity that a consumer will be a female and will make a purchase between $10 and $20?

2.: Two sacks each contain 4 candies, 2 packs of gum, and 7 cookies. One item is randomly selected from each sack. What is the probablity that both selected items will be cookies?
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Postby stapel_eliz on Tue May 05, 2009 12:34 pm

confused wrote:1.: At a certain flea maket, 35% of purchases are $10 to $20. The probablity that a consumer will be a male is 60%. What is the probablity that a consumer will be a female and will make a purchase between $10 and $20?

I think this is one of those "grid" exercises. So set up as:

grid:
$10 < x < $30?
yes no
+-----+-----+
male | | | 0.6
+-----+-----+
female | | | 0.4
+-----+-----+
0.35 0.65

The events would appear to be independent, so multiply to fill things in:

grid:
$10 < x < $30?
yes no
+------+------+
male | 0.21 | 0.39 | 0.6
+------+------+
female | 0.14 | 0.26 | 0.4
+------+------+
0.35 0.65

Then read the answer-value from the grid. :wink:

confused wrote:2.: Two sacks each contain 4 candies, 2 packs of gum, and 7 cookies. One item is randomly selected from each sack. What is the probablity that both selected items will be cookies?

What is the probability of drawing a cookie from one sack?

Since the sacks are independent, then what is the probability of drawing cookies from both sacks?

:D
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