According to thelabel, a can of soup holds an average of 307 grams, with a standard deviation of 4.4 grams. Assuming a normaldistribution, what is the probability that a can will be sold that holds more than 308 grams?
The probability that the can contains more than 308 g is_____
(Round to four decimal places asneeded.)
\fAreas under the Normal Curve (continued) The column under A gives the proportion of the area under the entire curve that is between 2 =0 and a positive value of z. Z A Z A Z A Z A 1.92 .4726 2.42 4922 2.92 .4983 3.42 4997 1.93 .4732 2.43 .4925 2.93 .4983 3.43 .4997 1.94 .4738 2.44 4927 2.94 .4984 3.44 .4997 1.95 .4744 2.45 .4929 2.95 .4984 3.45 .4997 1.96 .4750 2.46 -4931 2.96 .4985 3.46 .4997 1.97 .4756 2.47 -4932 2.97 .4985 3.47 .4997 1.98 .4762 2.48 .4934 2.98 .4986 3.48 . 4998 1.99 .4767 2.49 .4936 2.99 4986 3.49 .4998 2.00 .4773 2.50 .4938 3.00 .4987 3.50 .4998 2.01 .4778 2.51 -4940 3.01 .4987 3.51 .4998 2.02 .4783 2.52 -4941 3.02 .4987 3.52 .4998 2.03 .4788 2.53 4943 3.03 .4988 3.53 .4098 2.04 .4793 2.54 4945 3.04 .498 8 3.54 .4998 2.05 .4798 2.55 -4946 3.05 .4989 3.55 :4998 2.06 .4803 2.56 .4948 3.06 .4989 3.56 . 4998 2.07 .4808 2.57 .4949 3.07 4989 3.57 4998 2.08 .4812 2.58 .4951 3.08 .4990 3.58 :4998 2.09 .4817 2.59 4952 3.09 .4990 3.59 .4998 2.10 .4821 2.60 4953 3.10 4990 3.60 .4998 2.11 .4826 2.61 .4955 3.11 .4991 3.61 .4999 2.12 .4830 2.62 .4956 3.12 .4991 3.62 .4999 2.13 .4834 2.63 -4957 3.13 .4991 3.63 .4999 2.14 .4838 2.64 .4959 3.14 .4992 3.64 .4999 2.15 4842 2.65 .4960 3.15 .4992 3.65 4999 2.16 .4846 2.66 4961 3.16 4992 3.66 .4999 2.17 .4850 2.67 .4962 3.17 .4992 3.67 .4999 2.18 4854 2.68 .4963 3.18 .4993 3.68 .4999 2.19 .4857 2.69 .4964 3.19 .4993 3.69 4999 2.20 .4861 2.70 .4965 3.20 .4993 3.70 .4999 2.21 .4865 2.71 .4966 3.21 .4993 3.71 .4999 2.22 .4868 2.72 .4967 3.22 4994 3.72 .4999 2.23 .4871 2.73 .4968 3.23 .4994 3.73 .4999 2.24 .4875 2.74 .4969 3.24 .4994 3.74 . 4999 2.25 .4878 2.75 -4970 3.25 4994 3.75 .4999 2.26 .4881 2.76 4971 3.26 4994 3.76 .4999 2.27 .4884 2.77 .4972 3.27 .4995 3.77 .4999 2.28 .4887 2.78 4973 3.28 .4995 3.78 .4999 2.29 .4890 2.79 .4974 3.29 .4995 3.79 .4999 2.30 .4893 2.80 4974 3.30 .4995 3.80 .4999 2.31 .4896 2.81 .4975 3.31 .4995 3.81 .4999 2.32 4898 2.82 4976 3.32 .4996 3.82 .4999 2.33 .4901 2.83 4977 3.33 .4996 3.83 .4999 2.34 .4904 2.84 4977 3.34 4996 3.84 4999 2.35 .4906 2.85 4978 3.35 .4996 3.85 .4999 2.36 .4909 2.86 4979 3.36 .4996 3.86 .4999 2.37 .4911 2.87 4980 3.37 .4996 3.87 .5000 2.38 4913 2 88 4980 3.38 4996 3.88 5000 2.39 .4916 2.89 -4981 3.39 .4997 3.89 .5000 2.40 .4918 2.90 .4981 3.40 .4997
