1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sveticcg [70]
3 years ago
12

The probability that an archer hits her target when it is windy is 0.4; when it is not windy, her probability of hitting the tar

get is 0.7. On any shot, the probability of a gust of wind is 0.3. Find the probability that a. on a given shot there is a gust of wind and she hits her target.
b. she hits the target with her first shot.

c. she hits the target exactly once in two shots.

d. there was no gust of wind on an occasion when she missed.
Mathematics
1 answer:
zzz [600]3 years ago
7 0

Answer:

a) the probability is 0.12 (12%)

b) the probability is 0.61 (61%)

c) the probability is 0.476 (47.6%)

a) the probability is 0.538 (53.8%)

Step-by-step explanation:

a) denoting the event H= hits her target and G= a gust of wind appears hen

P(H∩G) = probability that a gust of wind appears * probability of hitting the target given that is windy = 0.3* 0.4 = 0.12 (12%)

b) for any given shot

P(H)= probability that a gust of wind appears*probability of hitting the target given that is windy + probability that a gust of wind does not appear*probability of hitting the target given that is not windy = 0.3*0.4+0.7*0.7 = 0.12+0.49 = 0.61 (61%)

c) denoting P₂  as the probability of hitting once in 2 shots  and since the archer can hit in the first shot or the second , then

P₂ = P(H)*(1-P(H))+ (1-P(H))*P(H) = 2*P(H) *(1-P(H)) = 2*0.61*0.39= 0.476 (47.6%)

d) for conditional probability we can use the theorem of Bayes , where

M= the archer misses the shot → P(M) = 1- P(H) = 0.39

S= it is not windy when the archer shots → P(S) = 1- P(G) = 0.7

then

P(S/M) = P(S∩M)/P(M) = 0.7*(1-0.7)/0.39 = 0.538 (53.8%)

where P(S/M)  is the probability that there was no wind when the archer missed the shot

You might be interested in
What is the vertex if the graph
suter [353]

Answer:

(-1,2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
At Bridgeview School,7/10 of the total students are driven to school by their parents. Another 1/6 of the total students at Brid
jarptica [38.1K]

Answer: 2/15

Step-by-step explanation:

We are given the information that at Bridgeview School, 7/10 of the total students are driven to school by their parents and that 1/6 of the total students at Bridgeview School ride the bus.

The fraction of the students that walk to school would be:

= 1 - (7/10 + 1/6)

= 1 - (21/30 + 5/30)

= 1 - 26/30

= 4/30

= 2/15

5 0
3 years ago
There are 6 large picture frames. Each picture frame contains 2 pictures. What number sentence can be used to find the total num
Stolb23 [73]

Answer:

the think the answer is b.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Tamiami turned in 6 homework assignments. if she turned in 75 percent of the homework assignments that were due how many homewor
vivado [14]
Percemt means parts out of 100
75%=75/100=15/20=3/4

turned in 6
if she turned in 3/4 of total assignments due then how many total?
6=3/4 times total
multily both sides by 4/3 to clear fraction
24/3=total
8=total
answer is 8 homeworks were assigned
5 0
3 years ago
Marvin counts six $5 bills. write each value that he counts. what pattern do you see in the one digits of the values he counts?
spin [16.1K]
Answer: If the number of bills counted is odd, the ones digit is 5; if the number of bills is even, the ones digit is 0.

Explanation

1) Simulate the counting of the bills:

number of bills counted          value              ones digit

1                                             5                         5

2                                             5 + 5 = 10           0

3                                             10 + 5 = 15         5

4                                             15 + 5 = 20         0

5                                              20 + 5 = 25        5

6                                              25 + 5 = 30        0

2) Pattern: you can see that the ones digit alreternate: 5, 0, 5, 0, 5, 0, ...

If the number of bills counted is odd the ones digit is 5, if the number of bills is even the ones digit is 0.
4 0
3 years ago
Other questions:
  • PLEASE HELP ASAP!!! 7TH GRADE MATH
    13·1 answer
  • If the output is 89 what is the input
    11·2 answers
  • Volume and surface area are often compared by manufacturers in order to maximize how much of something can go inside of a packag
    13·1 answer
  • What is the absolute value of -4.5
    10·2 answers
  • There are 24 skittles in a bowl and 75% of them are red. How many skittles are red?
    9·2 answers
  • Solve for 'p'. Show all work: 2(-4x + 8) ≤ 20
    11·2 answers
  • 5
    8·2 answers
  • The average volleyball player is 74 inches tall. What is the average height in meters?
    5·1 answer
  • There are 11 books on a shelf. 3 of these books are new. The rest of them are used.
    15·2 answers
  • Which linear inequality is represented by the graph?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!